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Finding the Fourth Proportional to 3,641.83, 5,463.56 and 1,044.97

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Solution

The fourth proportional to 3,641.83, 5,463.56 and 1,044.97 is: 1,567.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.83 : 5,463.56 = 1,044.97 : x
  2. Step 2: Convert to fraction form
    3,641.83/5,463.56 = 1,044.97/x
  3. Step 3: Cross multiply
    3,641.83x = 5,463.56 × 1,044.97
  4. Step 4: Simplify right side
    3,641.83x = 5,709,251.07
  5. Step 5: Solve for x
    x = 5,709,251.07/3,641.83
  6. Step 6: Final answer
    x = 1,567.69

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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.