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Finding the Fourth Proportional to 3,691.12, 5,538.12 and 2,231.32

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Solution

The fourth proportional to 3,691.12, 5,538.12 and 2,231.32 is: 3,347.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.12 : 5,538.12 = 2,231.32 : x
  2. Step 2: Convert to fraction form
    3,691.12/5,538.12 = 2,231.32/x
  3. Step 3: Cross multiply
    3,691.12x = 5,538.12 × 2,231.32
  4. Step 4: Simplify right side
    3,691.12x = 12,357,317.92
  5. Step 5: Solve for x
    x = 12,357,317.92/3,691.12
  6. Step 6: Final answer
    x = 3,347.85

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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.