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Finding the Fourth Proportional to 5,843.89, 8,064.60 and 3,191.38

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Solution

The fourth proportional to 5,843.89, 8,064.60 and 3,191.38 is: 4,404.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.89 : 8,064.60 = 3,191.38 : x
  2. Step 2: Convert to fraction form
    5,843.89/8,064.60 = 3,191.38/x
  3. Step 3: Cross multiply
    5,843.89x = 8,064.60 × 3,191.38
  4. Step 4: Simplify right side
    5,843.89x = 25,737,203.15
  5. Step 5: Solve for x
    x = 25,737,203.15/5,843.89
  6. Step 6: Final answer
    x = 4,404.12

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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.