H5. Express $3.4 \overline{17}=3.4171717 \ldots$ using a geometric series, then write it as a ratio of two integers.

Step 1 ：Let \(x = 3.4\overline{17}\)

Step 2 ：Multiply both sides by 100 to get \(100x = 341.\overline{17}\)

Step 3 ：Subtract the original equation from the new one to get \(99x = 337.75\)

Step 4 ：Divide both sides by 99 to get \(x = \frac{337.75}{99}\)

Step 5 ：Multiply both the numerator and the denominator by 4 to get rid of the decimal in the numerator, resulting in \(x = \frac{1351}{396}\)

Step 6 ：Therefore, \(3.4\overline{17} = \boxed{\frac{1351}{396}}\)