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Finding the Fourth Proportional to 4,003.60, 5,998.20 and 3,542.80

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Solution

The fourth proportional to 4,003.60, 5,998.20 and 3,542.80 is: 5,307.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,003.60 : 5,998.20 = 3,542.80 : x
  2. Step 2: Convert to fraction form
    4,003.60/5,998.20 = 3,542.80/x
  3. Step 3: Cross multiply
    4,003.60x = 5,998.20 × 3,542.80
  4. Step 4: Simplify right side
    4,003.60x = 21,250,422.96
  5. Step 5: Solve for x
    x = 21,250,422.96/4,003.60
  6. Step 6: Final answer
    x = 5,307.83

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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.