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Finding the Fourth Proportional to 5,642.62, 8,464.16 and 2,132.26

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Solution

The fourth proportional to 5,642.62, 8,464.16 and 2,132.26 is: 3,198.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.62 : 8,464.16 = 2,132.26 : x
  2. Step 2: Convert to fraction form
    5,642.62/8,464.16 = 2,132.26/x
  3. Step 3: Cross multiply
    5,642.62x = 8,464.16 × 2,132.26
  4. Step 4: Simplify right side
    5,642.62x = 18,047,773.97
  5. Step 5: Solve for x
    x = 18,047,773.97/5,642.62
  6. Step 6: Final answer
    x = 3,198.48

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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.