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Finding the Fourth Proportional to 4,314.74, 6,469.11 and 2,202.27

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Solution

The fourth proportional to 4,314.74, 6,469.11 and 2,202.27 is: 3,301.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314.74 : 6,469.11 = 2,202.27 : x
  2. Step 2: Convert to fraction form
    4,314.74/6,469.11 = 2,202.27/x
  3. Step 3: Cross multiply
    4,314.74x = 6,469.11 × 2,202.27
  4. Step 4: Simplify right side
    4,314.74x = 14,246,694.53
  5. Step 5: Solve for x
    x = 14,246,694.53/4,314.74
  6. Step 6: Final answer
    x = 3,301.87

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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.