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Finding the Fourth Proportional to 5,843.97, 8,064.38 and 3,190.88

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Solution

The fourth proportional to 5,843.97, 8,064.38 and 3,190.88 is: 4,403.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.97 : 8,064.38 = 3,190.88 : x
  2. Step 2: Convert to fraction form
    5,843.97/8,064.38 = 3,190.88/x
  3. Step 3: Cross multiply
    5,843.97x = 8,064.38 × 3,190.88
  4. Step 4: Simplify right side
    5,843.97x = 25,732,496.99
  5. Step 5: Solve for x
    x = 25,732,496.99/5,843.97
  6. Step 6: Final answer
    x = 4,403.26

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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.