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Finding the Fourth Proportional to 3,729.08, 5,591.46 and 1,539.32

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Solution

The fourth proportional to 3,729.08, 5,591.46 and 1,539.32 is: 2,308.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.08 : 5,591.46 = 1,539.32 : x
  2. Step 2: Convert to fraction form
    3,729.08/5,591.46 = 1,539.32/x
  3. Step 3: Cross multiply
    3,729.08x = 5,591.46 × 1,539.32
  4. Step 4: Simplify right side
    3,729.08x = 8,607,046.21
  5. Step 5: Solve for x
    x = 8,607,046.21/3,729.08
  6. Step 6: Final answer
    x = 2,308.09

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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.