Home / 4,198-5,793.24-2,335.44

Finding the Fourth Proportional to 4,198, 5,793.24 and 2,335.44

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Solution

The fourth proportional to 4,198, 5,793.24 and 2,335.44 is: 3,222.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198 : 5,793.24 = 2,335.44 : x
  2. Step 2: Convert to fraction form
    4,198/5,793.24 = 2,335.44/x
  3. Step 3: Cross multiply
    4,198x = 5,793.24 × 2,335.44
  4. Step 4: Simplify right side
    4,198x = 13,529,764.43
  5. Step 5: Solve for x
    x = 13,529,764.43/4,198
  6. Step 6: Final answer
    x = 3,222.91

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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.