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Finding the Fourth Proportional to 4,198.09, 5,793.38 and 2,335.09

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Solution

The fourth proportional to 4,198.09, 5,793.38 and 2,335.09 is: 3,222.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.09 : 5,793.38 = 2,335.09 : x
  2. Step 2: Convert to fraction form
    4,198.09/5,793.38 = 2,335.09/x
  3. Step 3: Cross multiply
    4,198.09x = 5,793.38 × 2,335.09
  4. Step 4: Simplify right side
    4,198.09x = 13,528,063.70
  5. Step 5: Solve for x
    x = 13,528,063.70/4,198.09
  6. Step 6: Final answer
    x = 3,222.43

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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.