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Finding the Fourth Proportional to 6,171.84, 8,517.83 and 3,519.90

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Solution

The fourth proportional to 6,171.84, 8,517.83 and 3,519.90 is: 4,857.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.84 : 8,517.83 = 3,519.90 : x
  2. Step 2: Convert to fraction form
    6,171.84/8,517.83 = 3,519.90/x
  3. Step 3: Cross multiply
    6,171.84x = 8,517.83 × 3,519.90
  4. Step 4: Simplify right side
    6,171.84x = 29,981,892.22
  5. Step 5: Solve for x
    x = 29,981,892.22/6,171.84
  6. Step 6: Final answer
    x = 4,857.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.