A car dealer leases a small computer with software for $$4,532$ per year. As an alternative he could buy the computer for $$7,701$ and lease the software for $$3,397$ per year. Any time he would decide to switch to some other computer system he could cancel the software lease and sell the computer for $$700.$ If he buys the computer and leases the software, what is the payback period? $($years$,$ with $2$ decimal points$)$

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$5\mathrm{.}17$ margin of error $\frac{+}{-}1\%$