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Finding the Fourth Proportional to 5,372, 8,052.24 and 2,251.22

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Solution

The fourth proportional to 5,372, 8,052.24 and 2,251.22 is: 3,374.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,372 : 8,052.24 = 2,251.22 : x
  2. Step 2: Convert to fraction form
    5,372/8,052.24 = 2,251.22/x
  3. Step 3: Cross multiply
    5,372x = 8,052.24 × 2,251.22
  4. Step 4: Simplify right side
    5,372x = 18,127,363.73
  5. Step 5: Solve for x
    x = 18,127,363.73/5,372
  6. Step 6: Final answer
    x = 3,374.42

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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.