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Finding the Fourth Proportional to 3,641.20, 5,462.72 and 1,044.14

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Solution

The fourth proportional to 3,641.20, 5,462.72 and 1,044.14 is: 1,566.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.20 : 5,462.72 = 1,044.14 : x
  2. Step 2: Convert to fraction form
    3,641.20/5,462.72 = 1,044.14/x
  3. Step 3: Cross multiply
    3,641.20x = 5,462.72 × 1,044.14
  4. Step 4: Simplify right side
    3,641.20x = 5,703,843.63
  5. Step 5: Solve for x
    x = 5,703,843.63/3,641.20
  6. Step 6: Final answer
    x = 1,566.47

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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.