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Finding the Fourth Proportional to 5,793.14, 8,682.08 and 3,161.79

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Solution

The fourth proportional to 5,793.14, 8,682.08 and 3,161.79 is: 4,738.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,793.14 : 8,682.08 = 3,161.79 : x
  2. Step 2: Convert to fraction form
    5,793.14/8,682.08 = 3,161.79/x
  3. Step 3: Cross multiply
    5,793.14x = 8,682.08 × 3,161.79
  4. Step 4: Simplify right side
    5,793.14x = 27,450,897.91
  5. Step 5: Solve for x
    x = 27,450,897.91/5,793.14
  6. Step 6: Final answer
    x = 4,738.52

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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.