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Finding the Fourth Proportional to 5,452.92, 8,182.62 and 2,857.32

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Solution

The fourth proportional to 5,452.92, 8,182.62 and 2,857.32 is: 4,287.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,452.92 : 8,182.62 = 2,857.32 : x
  2. Step 2: Convert to fraction form
    5,452.92/8,182.62 = 2,857.32/x
  3. Step 3: Cross multiply
    5,452.92x = 8,182.62 × 2,857.32
  4. Step 4: Simplify right side
    5,452.92x = 23,380,363.78
  5. Step 5: Solve for x
    x = 23,380,363.78/5,452.92
  6. Step 6: Final answer
    x = 4,287.68

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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.