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Finding the Fourth Proportional to 3,423.52, 5,131.52 and 1,343.14

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Solution

The fourth proportional to 3,423.52, 5,131.52 and 1,343.14 is: 2,013.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.52 : 5,131.52 = 1,343.14 : x
  2. Step 2: Convert to fraction form
    3,423.52/5,131.52 = 1,343.14/x
  3. Step 3: Cross multiply
    3,423.52x = 5,131.52 × 1,343.14
  4. Step 4: Simplify right side
    3,423.52x = 6,892,335.27
  5. Step 5: Solve for x
    x = 6,892,335.27/3,423.52
  6. Step 6: Final answer
    x = 2,013.23

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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.