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Finding the Fourth Proportional to 3,462.52, 5,192.49 and 1,381.90

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Solution

The fourth proportional to 3,462.52, 5,192.49 and 1,381.90 is: 2,072.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.52 : 5,192.49 = 1,381.90 : x
  2. Step 2: Convert to fraction form
    3,462.52/5,192.49 = 1,381.90/x
  3. Step 3: Cross multiply
    3,462.52x = 5,192.49 × 1,381.90
  4. Step 4: Simplify right side
    3,462.52x = 7,175,494.13
  5. Step 5: Solve for x
    x = 7,175,494.13/3,462.52
  6. Step 6: Final answer
    x = 2,072.33

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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.