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Finding the Fourth Proportional to 6,221.91, 8,576.49 and 4,229.01

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Solution

The fourth proportional to 6,221.91, 8,576.49 and 4,229.01 is: 5,829.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,221.91 : 8,576.49 = 4,229.01 : x
  2. Step 2: Convert to fraction form
    6,221.91/8,576.49 = 4,229.01/x
  3. Step 3: Cross multiply
    6,221.91x = 8,576.49 × 4,229.01
  4. Step 4: Simplify right side
    6,221.91x = 36,270,061.97
  5. Step 5: Solve for x
    x = 36,270,061.97/6,221.91
  6. Step 6: Final answer
    x = 5,829.41

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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.