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Finding the Fourth Proportional to 5,964.48, 8,229.92 and 3,311.44

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Solution

The fourth proportional to 5,964.48, 8,229.92 and 3,311.44 is: 4,569.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.48 : 8,229.92 = 3,311.44 : x
  2. Step 2: Convert to fraction form
    5,964.48/8,229.92 = 3,311.44/x
  3. Step 3: Cross multiply
    5,964.48x = 8,229.92 × 3,311.44
  4. Step 4: Simplify right side
    5,964.48x = 27,252,886.28
  5. Step 5: Solve for x
    x = 27,252,886.28/5,964.48
  6. Step 6: Final answer
    x = 4,569.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.