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Finding the Fourth Proportional to 3,452.54, 5,171.09 and 2,475.68

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Solution

The fourth proportional to 3,452.54, 5,171.09 and 2,475.68 is: 3,707.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.54 : 5,171.09 = 2,475.68 : x
  2. Step 2: Convert to fraction form
    3,452.54/5,171.09 = 2,475.68/x
  3. Step 3: Cross multiply
    3,452.54x = 5,171.09 × 2,475.68
  4. Step 4: Simplify right side
    3,452.54x = 12,801,964.09
  5. Step 5: Solve for x
    x = 12,801,964.09/3,452.54
  6. Step 6: Final answer
    x = 3,707.98

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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.