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Finding the Fourth Proportional to 5,843.38, 8,063.98 and 3,190.89

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Solution

The fourth proportional to 5,843.38, 8,063.98 and 3,190.89 is: 4,403.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.38 : 8,063.98 = 3,190.89 : x
  2. Step 2: Convert to fraction form
    5,843.38/8,063.98 = 3,190.89/x
  3. Step 3: Cross multiply
    5,843.38x = 8,063.98 × 3,190.89
  4. Step 4: Simplify right side
    5,843.38x = 25,731,273.14
  5. Step 5: Solve for x
    x = 25,731,273.14/5,843.38
  6. Step 6: Final answer
    x = 4,403.49

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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.