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Finding the Fourth Proportional to 6,342.72, 8,753.12 and 3,548.20

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Solution

The fourth proportional to 6,342.72, 8,753.12 and 3,548.20 is: 4,896.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.72 : 8,753.12 = 3,548.20 : x
  2. Step 2: Convert to fraction form
    6,342.72/8,753.12 = 3,548.20/x
  3. Step 3: Cross multiply
    6,342.72x = 8,753.12 × 3,548.20
  4. Step 4: Simplify right side
    6,342.72x = 31,057,820.38
  5. Step 5: Solve for x
    x = 31,057,820.38/6,342.72
  6. Step 6: Final answer
    x = 4,896.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.