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Finding the Fourth Proportional to 4,874, 6,725.16 and 2,749.56

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Solution

The fourth proportional to 4,874, 6,725.16 and 2,749.56 is: 3,793.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874 : 6,725.16 = 2,749.56 : x
  2. Step 2: Convert to fraction form
    4,874/6,725.16 = 2,749.56/x
  3. Step 3: Cross multiply
    4,874x = 6,725.16 × 2,749.56
  4. Step 4: Simplify right side
    4,874x = 18,491,230.93
  5. Step 5: Solve for x
    x = 18,491,230.93/4,874
  6. Step 6: Final answer
    x = 3,793.85

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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.