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Finding the Fourth Proportional to 3,781.50, 5,218.50 and 2,209.56

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Solution

The fourth proportional to 3,781.50, 5,218.50 and 2,209.56 is: 3,049.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.50 : 5,218.50 = 2,209.56 : x
  2. Step 2: Convert to fraction form
    3,781.50/5,218.50 = 2,209.56/x
  3. Step 3: Cross multiply
    3,781.50x = 5,218.50 × 2,209.56
  4. Step 4: Simplify right side
    3,781.50x = 11,530,588.86
  5. Step 5: Solve for x
    x = 11,530,588.86/3,781.50
  6. Step 6: Final answer
    x = 3,049.21

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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.