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Finding the Fourth Proportional to 5,964.06, 8,229.60 and 3,311.40

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Solution

The fourth proportional to 5,964.06, 8,229.60 and 3,311.40 is: 4,569.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.06 : 8,229.60 = 3,311.40 : x
  2. Step 2: Convert to fraction form
    5,964.06/8,229.60 = 3,311.40/x
  3. Step 3: Cross multiply
    5,964.06x = 8,229.60 × 3,311.40
  4. Step 4: Simplify right side
    5,964.06x = 27,251,497.44
  5. Step 5: Solve for x
    x = 27,251,497.44/5,964.06
  6. Step 6: Final answer
    x = 4,569.29

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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.