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Finding the Fourth Proportional to 3,447.24, 5,167.64 and 1,255.47

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Solution

The fourth proportional to 3,447.24, 5,167.64 and 1,255.47 is: 1,882.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.24 : 5,167.64 = 1,255.47 : x
  2. Step 2: Convert to fraction form
    3,447.24/5,167.64 = 1,255.47/x
  3. Step 3: Cross multiply
    3,447.24x = 5,167.64 × 1,255.47
  4. Step 4: Simplify right side
    3,447.24x = 6,487,791.15
  5. Step 5: Solve for x
    x = 6,487,791.15/3,447.24
  6. Step 6: Final answer
    x = 1,882.03

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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.