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Finding the Fourth Proportional to 3,694.74, 5,517.78 and 3,286.50

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Solution

The fourth proportional to 3,694.74, 5,517.78 and 3,286.50 is: 4,908.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.74 : 5,517.78 = 3,286.50 : x
  2. Step 2: Convert to fraction form
    3,694.74/5,517.78 = 3,286.50/x
  3. Step 3: Cross multiply
    3,694.74x = 5,517.78 × 3,286.50
  4. Step 4: Simplify right side
    3,694.74x = 18,134,183.97
  5. Step 5: Solve for x
    x = 18,134,183.97/3,694.74
  6. Step 6: Final answer
    x = 4,908.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.