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Finding the Fourth Proportional to 4,002.60, 6,003.90 and 2,542.80

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Solution

The fourth proportional to 4,002.60, 6,003.90 and 2,542.80 is: 3,814.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.60 : 6,003.90 = 2,542.80 : x
  2. Step 2: Convert to fraction form
    4,002.60/6,003.90 = 2,542.80/x
  3. Step 3: Cross multiply
    4,002.60x = 6,003.90 × 2,542.80
  4. Step 4: Simplify right side
    4,002.60x = 15,266,716.92
  5. Step 5: Solve for x
    x = 15,266,716.92/4,002.60
  6. Step 6: Final answer
    x = 3,814.20

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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.