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Finding the Fourth Proportional to 3,688.57, 5,095.20 and 3,426.13

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Solution

The fourth proportional to 3,688.57, 5,095.20 and 3,426.13 is: 4,732.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,688.57 : 5,095.20 = 3,426.13 : x
  2. Step 2: Convert to fraction form
    3,688.57/5,095.20 = 3,426.13/x
  3. Step 3: Cross multiply
    3,688.57x = 5,095.20 × 3,426.13
  4. Step 4: Simplify right side
    3,688.57x = 17,456,817.58
  5. Step 5: Solve for x
    x = 17,456,817.58/3,688.57
  6. Step 6: Final answer
    x = 4,732.68

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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.