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Finding the Fourth Proportional to 3,542.08, 5,309.72 and 2,003.20

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Solution

The fourth proportional to 3,542.08, 5,309.72 and 2,003.20 is: 3,002.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.08 : 5,309.72 = 2,003.20 : x
  2. Step 2: Convert to fraction form
    3,542.08/5,309.72 = 2,003.20/x
  3. Step 3: Cross multiply
    3,542.08x = 5,309.72 × 2,003.20
  4. Step 4: Simplify right side
    3,542.08x = 10,636,431.10
  5. Step 5: Solve for x
    x = 10,636,431.10/3,542.08
  6. Step 6: Final answer
    x = 3,002.88

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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.