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Finding the Fourth Proportional to 6,229.28, 8,577.42 and 5,832.66

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Solution

The fourth proportional to 6,229.28, 8,577.42 and 5,832.66 is: 8,031.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,229.28 : 8,577.42 = 5,832.66 : x
  2. Step 2: Convert to fraction form
    6,229.28/8,577.42 = 5,832.66/x
  3. Step 3: Cross multiply
    6,229.28x = 8,577.42 × 5,832.66
  4. Step 4: Simplify right side
    6,229.28x = 50,029,174.54
  5. Step 5: Solve for x
    x = 50,029,174.54/6,229.28
  6. Step 6: Final answer
    x = 8,031.29

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