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Finding the Fourth Proportional to 3,842.68, 5,754.78 and 2,194.23

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Solution

The fourth proportional to 3,842.68, 5,754.78 and 2,194.23 is: 3,286.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.68 : 5,754.78 = 2,194.23 : x
  2. Step 2: Convert to fraction form
    3,842.68/5,754.78 = 2,194.23/x
  3. Step 3: Cross multiply
    3,842.68x = 5,754.78 × 2,194.23
  4. Step 4: Simplify right side
    3,842.68x = 12,627,299.95
  5. Step 5: Solve for x
    x = 12,627,299.95/3,842.68
  6. Step 6: Final answer
    x = 3,286.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.