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Finding the Fourth Proportional to 5,963.84, 8,229.80 and 3,311.18

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Solution

The fourth proportional to 5,963.84, 8,229.80 and 3,311.18 is: 4,569.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963.84 : 8,229.80 = 3,311.18 : x
  2. Step 2: Convert to fraction form
    5,963.84/8,229.80 = 3,311.18/x
  3. Step 3: Cross multiply
    5,963.84x = 8,229.80 × 3,311.18
  4. Step 4: Simplify right side
    5,963.84x = 27,250,349.16
  5. Step 5: Solve for x
    x = 27,250,349.16/5,963.84
  6. Step 6: Final answer
    x = 4,569.26

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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.