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Finding the Fourth Proportional to 5,044.57, 7,569.01 and 4,614.73

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Solution

The fourth proportional to 5,044.57, 7,569.01 and 4,614.73 is: 6,924.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,044.57 : 7,569.01 = 4,614.73 : x
  2. Step 2: Convert to fraction form
    5,044.57/7,569.01 = 4,614.73/x
  3. Step 3: Cross multiply
    5,044.57x = 7,569.01 × 4,614.73
  4. Step 4: Simplify right side
    5,044.57x = 34,928,937.52
  5. Step 5: Solve for x
    x = 34,928,937.52/5,044.57
  6. Step 6: Final answer
    x = 6,924.07

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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.