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Finding the Fourth Proportional to 3,940.02, 5,432.16 and 3,229.26

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Solution

The fourth proportional to 3,940.02, 5,432.16 and 3,229.26 is: 4,452.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.02 : 5,432.16 = 3,229.26 : x
  2. Step 2: Convert to fraction form
    3,940.02/5,432.16 = 3,229.26/x
  3. Step 3: Cross multiply
    3,940.02x = 5,432.16 × 3,229.26
  4. Step 4: Simplify right side
    3,940.02x = 17,541,857.00
  5. Step 5: Solve for x
    x = 17,541,857.00/3,940.02
  6. Step 6: Final answer
    x = 4,452.23

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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.