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Finding the Fourth Proportional to 4,003.92, 6,004.02 and 1,229.88

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Solution

The fourth proportional to 4,003.92, 6,004.02 and 1,229.88 is: 1,844.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,003.92 : 6,004.02 = 1,229.88 : x
  2. Step 2: Convert to fraction form
    4,003.92/6,004.02 = 1,229.88/x
  3. Step 3: Cross multiply
    4,003.92x = 6,004.02 × 1,229.88
  4. Step 4: Simplify right side
    4,003.92x = 7,384,224.12
  5. Step 5: Solve for x
    x = 7,384,224.12/4,003.92
  6. Step 6: Final answer
    x = 1,844.25

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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.