Home / 5,198.38-7,793.01-2,275.70

Finding the Fourth Proportional to 5,198.38, 7,793.01 and 2,275.70

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Solution

The fourth proportional to 5,198.38, 7,793.01 and 2,275.70 is: 3,411.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.38 : 7,793.01 = 2,275.70 : x
  2. Step 2: Convert to fraction form
    5,198.38/7,793.01 = 2,275.70/x
  3. Step 3: Cross multiply
    5,198.38x = 7,793.01 × 2,275.70
  4. Step 4: Simplify right side
    5,198.38x = 17,734,513.89
  5. Step 5: Solve for x
    x = 17,734,513.89/5,198.38
  6. Step 6: Final answer
    x = 3,411.55

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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.