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Finding the Fourth Proportional to 3,695.39, 5,095.10 and 2,295.71

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Solution

The fourth proportional to 3,695.39, 5,095.10 and 2,295.71 is: 3,165.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.39 : 5,095.10 = 2,295.71 : x
  2. Step 2: Convert to fraction form
    3,695.39/5,095.10 = 2,295.71/x
  3. Step 3: Cross multiply
    3,695.39x = 5,095.10 × 2,295.71
  4. Step 4: Simplify right side
    3,695.39x = 11,696,872.02
  5. Step 5: Solve for x
    x = 11,696,872.02/3,695.39
  6. Step 6: Final answer
    x = 3,165.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.