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Finding the Fourth Proportional to 4,061.38, 5,604.70 and 2,198.38

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Solution

The fourth proportional to 4,061.38, 5,604.70 and 2,198.38 is: 3,033.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,061.38 : 5,604.70 = 2,198.38 : x
  2. Step 2: Convert to fraction form
    4,061.38/5,604.70 = 2,198.38/x
  3. Step 3: Cross multiply
    4,061.38x = 5,604.70 × 2,198.38
  4. Step 4: Simplify right side
    4,061.38x = 12,321,232.36
  5. Step 5: Solve for x
    x = 12,321,232.36/4,061.38
  6. Step 6: Final answer
    x = 3,033.76

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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.