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Finding the Fourth Proportional to 4,002.54, 6,004.20 and 1,081.14

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Solution

The fourth proportional to 4,002.54, 6,004.20 and 1,081.14 is: 1,621.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.54 : 6,004.20 = 1,081.14 : x
  2. Step 2: Convert to fraction form
    4,002.54/6,004.20 = 1,081.14/x
  3. Step 3: Cross multiply
    4,002.54x = 6,004.20 × 1,081.14
  4. Step 4: Simplify right side
    4,002.54x = 6,491,380.79
  5. Step 5: Solve for x
    x = 6,491,380.79/4,002.54
  6. Step 6: Final answer
    x = 1,621.82

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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.