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Finding the Fourth Proportional to 3,732.49, 5,149.60 and 2,159.47

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Solution

The fourth proportional to 3,732.49, 5,149.60 and 2,159.47 is: 2,979.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.49 : 5,149.60 = 2,159.47 : x
  2. Step 2: Convert to fraction form
    3,732.49/5,149.60 = 2,159.47/x
  3. Step 3: Cross multiply
    3,732.49x = 5,149.60 × 2,159.47
  4. Step 4: Simplify right side
    3,732.49x = 11,120,406.71
  5. Step 5: Solve for x
    x = 11,120,406.71/3,732.49
  6. Step 6: Final answer
    x = 2,979.35

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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.