Sorry about the confusion. This is for my JD4600. I didn't realize this forum would be automatically tied to the tractor I listed on my information page.
As Egon mentioned check your thermistor, below are two John Deere solutions about thermistor failure on the 4600 (the second one also talks about oil in the solenoid which you didn't mention but has same failure of thermistor):
Solution Number: 44787
Solution Summary: 4200 4300 4400 4500 4600 CUT Engine cranks but will not start
Publication Date: Jul 17 2002
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**Paper copies of solutions may not be the most current solutions**
Complaint or Symptom:
Engine cranks but will not start.
Problem or Situation:
The fuel shut off solenoid pull in winding is not being energized because the thermistor wired into the back of the load center has failed.
Solution:
Replace the thermistor.
Parts:
LVU10323 Thermistor
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4200, 4600, 4400, 4300, 4500
also there is this one:
Solution Number: 58414
Solution Summary: Engine spins over but fails to start.
Publication Date: Jun 27 2006
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**Paper copies of solutions may not be the most current solutions**
Complaint or Symptom :
The Engine cranks but fails to start. Oil is found in the fuel shutoff solenoid.
Problem or Situation :
It is normal for engine oil to get behind the plunger and the oil should be able to come out before the solenoid pull in winding times out. The R2 thermistor wired behind the K3 relay may not be working correctly causing the pull in winding of the solenoid to drop out to quickly or not pull in at all.
Solution :
Test power going to the white wire on the main harness side of the fuel solenoid. Voltage should be present when the key is initially switched to the run position, but, should drop off after a few seconds. The period of time that the solenoid gets power will change depending on the temperature of the thermistor.
If the 1 second peak amperage draw is less than 20 amps.
Inspect the R2 variable thermistor which is located behind the K3 fuel relay and replace as required with part number LVU10323. This variable thermistor allows the pull in winding of the fuel solenoid to have power initially to be able to pull the solenoid in and allow fuel to flow to the pump. After 1 second this thermistor should drop current flow to the white wire going to the solenoid and keep the solenoid from melting. Peak current flow should be between 20 to 35 Amps during the 1 second time period.
Additional Information :
One Dealer tested current at the thermistor and found that within a few milliseconds the current would only get up to 6 A and then drop off. 6 A will not be enough current to pull in the solenoid in some instances.