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Finding the Fourth Proportional to 3,834.54, 5,754.24 and 2,194.29

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Solution

The fourth proportional to 3,834.54, 5,754.24 and 2,194.29 is: 3,292.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.54 : 5,754.24 = 2,194.29 : x
  2. Step 2: Convert to fraction form
    3,834.54/5,754.24 = 2,194.29/x
  3. Step 3: Cross multiply
    3,834.54x = 5,754.24 × 2,194.29
  4. Step 4: Simplify right side
    3,834.54x = 12,626,471.29
  5. Step 5: Solve for x
    x = 12,626,471.29/3,834.54
  6. Step 6: Final answer
    x = 3,292.83

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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.