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Finding the Fourth Proportional to 4,002.64, 6,003.84 and 1,229.20

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Solution

The fourth proportional to 4,002.64, 6,003.84 and 1,229.20 is: 1,843.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.64 : 6,003.84 = 1,229.20 : x
  2. Step 2: Convert to fraction form
    4,002.64/6,003.84 = 1,229.20/x
  3. Step 3: Cross multiply
    4,002.64x = 6,003.84 × 1,229.20
  4. Step 4: Simplify right side
    4,002.64x = 7,379,920.13
  5. Step 5: Solve for x
    x = 7,379,920.13/4,002.64
  6. Step 6: Final answer
    x = 1,843.76

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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.