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Finding the Fourth Proportional to 3,872.39, 5,814.50 and 3,414.03

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Solution

The fourth proportional to 3,872.39, 5,814.50 and 3,414.03 is: 5,126.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.39 : 5,814.50 = 3,414.03 : x
  2. Step 2: Convert to fraction form
    3,872.39/5,814.50 = 3,414.03/x
  3. Step 3: Cross multiply
    3,872.39x = 5,814.50 × 3,414.03
  4. Step 4: Simplify right side
    3,872.39x = 19,850,857.76
  5. Step 5: Solve for x
    x = 19,850,857.76/3,872.39
  6. Step 6: Final answer
    x = 5,126.26

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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.