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Finding the Fourth Proportional to 3,949.57, 5,452.96 and 2,458.09

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Solution

The fourth proportional to 3,949.57, 5,452.96 and 2,458.09 is: 3,393.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,949.57 : 5,452.96 = 2,458.09 : x
  2. Step 2: Convert to fraction form
    3,949.57/5,452.96 = 2,458.09/x
  3. Step 3: Cross multiply
    3,949.57x = 5,452.96 × 2,458.09
  4. Step 4: Simplify right side
    3,949.57x = 13,403,839.18
  5. Step 5: Solve for x
    x = 13,403,839.18/3,949.57
  6. Step 6: Final answer
    x = 3,393.75

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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.