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Finding the Fourth Proportional to 3,641.38, 5,462.08 and 1,044.52

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Solution

The fourth proportional to 3,641.38, 5,462.08 and 1,044.52 is: 1,566.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.38 : 5,462.08 = 1,044.52 : x
  2. Step 2: Convert to fraction form
    3,641.38/5,462.08 = 1,044.52/x
  3. Step 3: Cross multiply
    3,641.38x = 5,462.08 × 1,044.52
  4. Step 4: Simplify right side
    3,641.38x = 5,705,251.80
  5. Step 5: Solve for x
    x = 5,705,251.80/3,641.38
  6. Step 6: Final answer
    x = 1,566.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.