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Finding the Fourth Proportional to 6,213.97, 8,580.76 and 4,229.27

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Solution

The fourth proportional to 6,213.97, 8,580.76 and 4,229.27 is: 5,840.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.97 : 8,580.76 = 4,229.27 : x
  2. Step 2: Convert to fraction form
    6,213.97/8,580.76 = 4,229.27/x
  3. Step 3: Cross multiply
    6,213.97x = 8,580.76 × 4,229.27
  4. Step 4: Simplify right side
    6,213.97x = 36,290,329.55
  5. Step 5: Solve for x
    x = 36,290,329.55/6,213.97
  6. Step 6: Final answer
    x = 5,840.12

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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.