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Finding the Fourth Proportional to 3,595.38, 4,961.62 and 2,198.13

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Solution

The fourth proportional to 3,595.38, 4,961.62 and 2,198.13 is: 3,033.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,595.38 : 4,961.62 = 2,198.13 : x
  2. Step 2: Convert to fraction form
    3,595.38/4,961.62 = 2,198.13/x
  3. Step 3: Cross multiply
    3,595.38x = 4,961.62 × 2,198.13
  4. Step 4: Simplify right side
    3,595.38x = 10,906,285.77
  5. Step 5: Solve for x
    x = 10,906,285.77/3,595.38
  6. Step 6: Final answer
    x = 3,033.42

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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.