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Finding the Fourth Proportional to 5,963.36, 8,229.65 and 3,310.97

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Solution

The fourth proportional to 5,963.36, 8,229.65 and 3,310.97 is: 4,569.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963.36 : 8,229.65 = 3,310.97 : x
  2. Step 2: Convert to fraction form
    5,963.36/8,229.65 = 3,310.97/x
  3. Step 3: Cross multiply
    5,963.36x = 8,229.65 × 3,310.97
  4. Step 4: Simplify right side
    5,963.36x = 27,248,066.56
  5. Step 5: Solve for x
    x = 27,248,066.56/5,963.36
  6. Step 6: Final answer
    x = 4,569.25

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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.