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Finding the Fourth Proportional to 3,729.92, 5,591.52 and 3,523.68

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Solution

The fourth proportional to 3,729.92, 5,591.52 and 3,523.68 is: 5,282.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.92 : 5,591.52 = 3,523.68 : x
  2. Step 2: Convert to fraction form
    3,729.92/5,591.52 = 3,523.68/x
  3. Step 3: Cross multiply
    3,729.92x = 5,591.52 × 3,523.68
  4. Step 4: Simplify right side
    3,729.92x = 19,702,727.19
  5. Step 5: Solve for x
    x = 19,702,727.19/3,729.92
  6. Step 6: Final answer
    x = 5,282.35

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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.