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Finding the Fourth Proportional to 3,729.52, 5,591.04 and 1,536.73

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Solution

The fourth proportional to 3,729.52, 5,591.04 and 1,536.73 is: 2,303.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.52 : 5,591.04 = 1,536.73 : x
  2. Step 2: Convert to fraction form
    3,729.52/5,591.04 = 1,536.73/x
  3. Step 3: Cross multiply
    3,729.52x = 5,591.04 × 1,536.73
  4. Step 4: Simplify right side
    3,729.52x = 8,591,918.90
  5. Step 5: Solve for x
    x = 8,591,918.90/3,729.52
  6. Step 6: Final answer
    x = 2,303.76

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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.