I recently got denied for the starwood preferred card. Is there any way that I could get Amex to reconsider my application? I have 740 FICO credit score, always pay my payments on time, and already got 3 amex card.

I was denied because:
Length of time accounts have been established.
Lack of recent information on installment accounts.
No recent revolving balances.
Too many inquiries in the last 12 months