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Finding the Fourth Proportional to 3,831, 5,286.80 and 2,506.92

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Solution

The fourth proportional to 3,831, 5,286.80 and 2,506.92 is: 3,459.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831 : 5,286.80 = 2,506.92 : x
  2. Step 2: Convert to fraction form
    3,831/5,286.80 = 2,506.92/x
  3. Step 3: Cross multiply
    3,831x = 5,286.80 × 2,506.92
  4. Step 4: Simplify right side
    3,831x = 13,253,584.66
  5. Step 5: Solve for x
    x = 13,253,584.66/3,831
  6. Step 6: Final answer
    x = 3,459.56

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1.5x scale

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.