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Finding the Fourth Proportional to 3,711.52, 5,569.17 and 1,763.74

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Solution

The fourth proportional to 3,711.52, 5,569.17 and 1,763.74 is: 2,646.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.52 : 5,569.17 = 1,763.74 : x
  2. Step 2: Convert to fraction form
    3,711.52/5,569.17 = 1,763.74/x
  3. Step 3: Cross multiply
    3,711.52x = 5,569.17 × 1,763.74
  4. Step 4: Simplify right side
    3,711.52x = 9,822,567.90
  5. Step 5: Solve for x
    x = 9,822,567.90/3,711.52
  6. Step 6: Final answer
    x = 2,646.51

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Why These Related Problems?

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