You really don't have *any* counter weight to speak of... Fill the tires with fluid - at least half way and use a lot more weight on the back- 500 lbs minimum.
Use the 6' wide bucket and cut that slope wider and dump the dirt at the bottom of the hill to make it less steep (actually, I would cut into the slope more... dumping / compacting the dirt at the bottom).
Don't worry about the tractor "working" more to get up the hills - it should do it with no problems as long as you are in the correct gear.
That seems like a pretty big 4in1 bucket - is that the correct size for that tractor?
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After 11 pages of gingerly polite comments by others, I am going to risk insult and say to you exactly what my wife said when she first saw the photos. "That was staged."
Among other things, the rear of the tractor does not go that high instantly. Once you started to raise the bucket, the back end would get tipsy and you would quit... unless... it's too unkind to say. Secondly, I'm not buying that a 600lb bucket alone put you in that shape. Yes it is too big/heavy but unless the bucket was loaded some I don't see all this happening. Third, the bucket is not loaded in the photo and there was no way to unload it if things transpired as described/implied. Fourth, the strap holding the machine in the spectacular position is not exactly the normal configuration. That was added at some point...and it is under tension. Fifth, FELs do not "arrive," they are installed and if you have the lack of background you say you do, then you certainly did not install it. Sixth, the path through the cut down area is fairly well packed by tractor tires both above and below the location of the machine in the photos. You were up and down through there several times.
Yes, I am suggesting this was staged. In the very unlikely event that this happened as described (OR if it really happened and you and some friends and another machine propped it back up there for the photos) then I will add this to the other 11 pages of comments:
1) A bush hog makes nice
ballast. Yes, you still need to fill the rear tires.
2) The bucket is, as they told you, way too heavy for that tractor. If it was installed by a dealer there is something seriously wrong with your dealer.
3) I don't see much real steep ground in any of the photos. You say "40 degrees" but you probably mean, I hope you mean, 40%. A
40% grade is very reasonable steep ground that you should be able to operate on (up and down) if properly balanced with weight front and back. A 40
degree slope is 83.9%. You never operated a machine on an 83% grade in your life and you won't either. At around 50-60% you will no longer have enough traction to make it up and if you start down, it will be sliding. It will be sliding on less than 50% slopes of sod with the non-AG tires shown on the 4105. That's in ideal weather on ideal sod without mud or sandy soil.
I have to hand it to you for an exciting posted article (obviously provoking profuse comments) no matter what the real story is.