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Finding the Fourth Proportional to 6,272.24, 8,652.42 and 3,753.14

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Solution

The fourth proportional to 6,272.24, 8,652.42 and 3,753.14 is: 5,177.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.24 : 8,652.42 = 3,753.14 : x
  2. Step 2: Convert to fraction form
    6,272.24/8,652.42 = 3,753.14/x
  3. Step 3: Cross multiply
    6,272.24x = 8,652.42 × 3,753.14
  4. Step 4: Simplify right side
    6,272.24x = 32,473,700.34
  5. Step 5: Solve for x
    x = 32,473,700.34/6,272.24
  6. Step 6: Final answer
    x = 5,177.37

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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.