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Finding the Fourth Proportional to 3,730.71, 5,142.96 and 2,608.17

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Solution

The fourth proportional to 3,730.71, 5,142.96 and 2,608.17 is: 3,595.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.71 : 5,142.96 = 2,608.17 : x
  2. Step 2: Convert to fraction form
    3,730.71/5,142.96 = 2,608.17/x
  3. Step 3: Cross multiply
    3,730.71x = 5,142.96 × 2,608.17
  4. Step 4: Simplify right side
    3,730.71x = 13,413,694.70
  5. Step 5: Solve for x
    x = 13,413,694.70/3,730.71
  6. Step 6: Final answer
    x = 3,595.48

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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.