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Finding the Fourth Proportional to 3,538.68, 5,308.02 and 2,385.24

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Solution

The fourth proportional to 3,538.68, 5,308.02 and 2,385.24 is: 3,577.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.68 : 5,308.02 = 2,385.24 : x
  2. Step 2: Convert to fraction form
    3,538.68/5,308.02 = 2,385.24/x
  3. Step 3: Cross multiply
    3,538.68x = 5,308.02 × 2,385.24
  4. Step 4: Simplify right side
    3,538.68x = 12,660,901.62
  5. Step 5: Solve for x
    x = 12,660,901.62/3,538.68
  6. Step 6: Final answer
    x = 3,577.86

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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.