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Finding the Fourth Proportional to 3,252.90, 4,489.68 and 2,057.13

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Solution

The fourth proportional to 3,252.90, 4,489.68 and 2,057.13 is: 2,839.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,252.90 : 4,489.68 = 2,057.13 : x
  2. Step 2: Convert to fraction form
    3,252.90/4,489.68 = 2,057.13/x
  3. Step 3: Cross multiply
    3,252.90x = 4,489.68 × 2,057.13
  4. Step 4: Simplify right side
    3,252.90x = 9,235,855.42
  5. Step 5: Solve for x
    x = 9,235,855.42/3,252.90
  6. Step 6: Final answer
    x = 2,839.27

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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.