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Finding the Fourth Proportional to 3,761.73, 5,191.13 and 2,249.46

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Solution

The fourth proportional to 3,761.73, 5,191.13 and 2,249.46 is: 3,104.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.73 : 5,191.13 = 2,249.46 : x
  2. Step 2: Convert to fraction form
    3,761.73/5,191.13 = 2,249.46/x
  3. Step 3: Cross multiply
    3,761.73x = 5,191.13 × 2,249.46
  4. Step 4: Simplify right side
    3,761.73x = 11,677,228.04
  5. Step 5: Solve for x
    x = 11,677,228.04/3,761.73
  6. Step 6: Final answer
    x = 3,104.22

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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.