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Finding the Fourth Proportional to 3,678.34, 5,517.87 and 1,213.18

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Solution

The fourth proportional to 3,678.34, 5,517.87 and 1,213.18 is: 1,819.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.34 : 5,517.87 = 1,213.18 : x
  2. Step 2: Convert to fraction form
    3,678.34/5,517.87 = 1,213.18/x
  3. Step 3: Cross multiply
    3,678.34x = 5,517.87 × 1,213.18
  4. Step 4: Simplify right side
    3,678.34x = 6,694,169.53
  5. Step 5: Solve for x
    x = 6,694,169.53/3,678.34
  6. Step 6: Final answer
    x = 1,819.89

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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.