
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Let the sum of the first $n$ terms of an arithmetic sequence be $S_n$, and the sum of the first $n$ terms of a geometric sequence be $T_n$. If $a_3 = b_3$, $a_4 = b_4$, and $\frac {S_{5}-S_{3}}{T_{4}-T_{2}} = 5$, find the value of $\frac {a_{5}+a_{3}}{b_{5}+b_{3}}$.

Present the answer in LaTex format: \boxed{Your answer}
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