Could be the PSU, do you have a multimeter?
See the second to last reply here by old comm goy...
http://discussions.apple.com/thread.jspa?messageID=12581046Another thing you can do is pull the PRAM Battery, Power cord, Monitor & all peripherals overnight, replace PRAM Battery, Power & such, try the PMU & see if it starts.
Was this off AC power lately?
Might be time to replace the PRAM Battery, 4 years is close to their lifespan, far less if ever without AC power, notice Polarity when pulling...
See which one your G5 has...
http://eshop.macsales.com/item/Newer%20Technology/CR2032/ http://eshop.macsales.com/item/Newer%20Technology/BAA36VPRAM/