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Finding the Fourth Proportional to 4,963.68, 6,850.92 and 2,974.64

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Solution

The fourth proportional to 4,963.68, 6,850.92 and 2,974.64 is: 4,105.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,963.68 : 6,850.92 = 2,974.64 : x
  2. Step 2: Convert to fraction form
    4,963.68/6,850.92 = 2,974.64/x
  3. Step 3: Cross multiply
    4,963.68x = 6,850.92 × 2,974.64
  4. Step 4: Simplify right side
    4,963.68x = 20,379,020.67
  5. Step 5: Solve for x
    x = 20,379,020.67/4,963.68
  6. Step 6: Final answer
    x = 4,105.63

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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.