I had the same issue with a 36RE and it ended up being a bad electrical connection. It was the black wire from the slide going up inside the main frame. There was a connection point that was not in any junction box or weather proof box and had corroded. This was the 12 volt control voltage for the fridge. Been working fine ever since.
Gerard & Dale
2006 Dodge Ram 2500 Diesel 4WD SRW