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Finding the Fourth Proportional to 5,250.31, 7,864.16 and 2,472.82

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Solution

The fourth proportional to 5,250.31, 7,864.16 and 2,472.82 is: 3,703.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,250.31 : 7,864.16 = 2,472.82 : x
  2. Step 2: Convert to fraction form
    5,250.31/7,864.16 = 2,472.82/x
  3. Step 3: Cross multiply
    5,250.31x = 7,864.16 × 2,472.82
  4. Step 4: Simplify right side
    5,250.31x = 19,446,620.11
  5. Step 5: Solve for x
    x = 19,446,620.11/5,250.31
  6. Step 6: Final answer
    x = 3,703.90

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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.