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Finding the Fourth Proportional to 5,963.34, 8,229.48 and 3,274.68

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Solution

The fourth proportional to 5,963.34, 8,229.48 and 3,274.68 is: 4,519.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963.34 : 8,229.48 = 3,274.68 : x
  2. Step 2: Convert to fraction form
    5,963.34/8,229.48 = 3,274.68/x
  3. Step 3: Cross multiply
    5,963.34x = 8,229.48 × 3,274.68
  4. Step 4: Simplify right side
    5,963.34x = 26,948,913.57
  5. Step 5: Solve for x
    x = 26,948,913.57/5,963.34
  6. Step 6: Final answer
    x = 4,519.10

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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.