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Finding the Fourth Proportional to 3,499.61, 5,251.62 and 3,171.21

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Solution

The fourth proportional to 3,499.61, 5,251.62 and 3,171.21 is: 4,758.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.61 : 5,251.62 = 3,171.21 : x
  2. Step 2: Convert to fraction form
    3,499.61/5,251.62 = 3,171.21/x
  3. Step 3: Cross multiply
    3,499.61x = 5,251.62 × 3,171.21
  4. Step 4: Simplify right side
    3,499.61x = 16,653,989.86
  5. Step 5: Solve for x
    x = 16,653,989.86/3,499.61
  6. Step 6: Final answer
    x = 4,758.82

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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.