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Finding the Fourth Proportional to 4,007.20, 6,002.16 and 3,229.60

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Solution

The fourth proportional to 4,007.20, 6,002.16 and 3,229.60 is: 4,837.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,007.20 : 6,002.16 = 3,229.60 : x
  2. Step 2: Convert to fraction form
    4,007.20/6,002.16 = 3,229.60/x
  3. Step 3: Cross multiply
    4,007.20x = 6,002.16 × 3,229.60
  4. Step 4: Simplify right side
    4,007.20x = 19,384,575.94
  5. Step 5: Solve for x
    x = 19,384,575.94/4,007.20
  6. Step 6: Final answer
    x = 4,837.44

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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.