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Finding the Fourth Proportional to 3,542.40, 5,304.96 and 1,998.72

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Solution

The fourth proportional to 3,542.40, 5,304.96 and 1,998.72 is: 2,993.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.40 : 5,304.96 = 1,998.72 : x
  2. Step 2: Convert to fraction form
    3,542.40/5,304.96 = 1,998.72/x
  3. Step 3: Cross multiply
    3,542.40x = 5,304.96 × 1,998.72
  4. Step 4: Simplify right side
    3,542.40x = 10,603,129.65
  5. Step 5: Solve for x
    x = 10,603,129.65/3,542.40
  6. Step 6: Final answer
    x = 2,993.21

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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.