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Finding the Fourth Proportional to 4,963.92, 6,849.69 and 2,974.42

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Solution

The fourth proportional to 4,963.92, 6,849.69 and 2,974.42 is: 4,104.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,963.92 : 6,849.69 = 2,974.42 : x
  2. Step 2: Convert to fraction form
    4,963.92/6,849.69 = 2,974.42/x
  3. Step 3: Cross multiply
    4,963.92x = 6,849.69 × 2,974.42
  4. Step 4: Simplify right side
    4,963.92x = 20,373,854.93
  5. Step 5: Solve for x
    x = 20,373,854.93/4,963.92
  6. Step 6: Final answer
    x = 4,104.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.