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Finding the Fourth Proportional to 3,502.53, 5,255.19 and 3,447.24

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Solution

The fourth proportional to 3,502.53, 5,255.19 and 3,447.24 is: 5,172.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.53 : 5,255.19 = 3,447.24 : x
  2. Step 2: Convert to fraction form
    3,502.53/5,255.19 = 3,447.24/x
  3. Step 3: Cross multiply
    3,502.53x = 5,255.19 × 3,447.24
  4. Step 4: Simplify right side
    3,502.53x = 18,115,901.18
  5. Step 5: Solve for x
    x = 18,115,901.18/3,502.53
  6. Step 6: Final answer
    x = 5,172.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.