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Finding the Fourth Proportional to 3,695.57, 5,542.27 and 3,044.69

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Solution

The fourth proportional to 3,695.57, 5,542.27 and 3,044.69 is: 4,566.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.57 : 5,542.27 = 3,044.69 : x
  2. Step 2: Convert to fraction form
    3,695.57/5,542.27 = 3,044.69/x
  3. Step 3: Cross multiply
    3,695.57x = 5,542.27 × 3,044.69
  4. Step 4: Simplify right side
    3,695.57x = 16,874,494.05
  5. Step 5: Solve for x
    x = 16,874,494.05/3,695.57
  6. Step 6: Final answer
    x = 4,566.14

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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.