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Finding the Fourth Proportional to 4,229.44, 6,344.16 and 4,004.80

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Solution

The fourth proportional to 4,229.44, 6,344.16 and 4,004.80 is: 6,007.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.44 : 6,344.16 = 4,004.80 : x
  2. Step 2: Convert to fraction form
    4,229.44/6,344.16 = 4,004.80/x
  3. Step 3: Cross multiply
    4,229.44x = 6,344.16 × 4,004.80
  4. Step 4: Simplify right side
    4,229.44x = 25,407,091.97
  5. Step 5: Solve for x
    x = 25,407,091.97/4,229.44
  6. Step 6: Final answer
    x = 6,007.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.