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Finding the Fourth Proportional to 5,443.52, 8,165.60 and 2,843.20

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Solution

The fourth proportional to 5,443.52, 8,165.60 and 2,843.20 is: 4,264.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,443.52 : 8,165.60 = 2,843.20 : x
  2. Step 2: Convert to fraction form
    5,443.52/8,165.60 = 2,843.20/x
  3. Step 3: Cross multiply
    5,443.52x = 8,165.60 × 2,843.20
  4. Step 4: Simplify right side
    5,443.52x = 23,216,433.92
  5. Step 5: Solve for x
    x = 23,216,433.92/5,443.52
  6. Step 6: Final answer
    x = 4,264.97

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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.