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Finding the Fourth Proportional to 5,843.88, 8,064.24 and 3,191.28

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Solution

The fourth proportional to 5,843.88, 8,064.24 and 3,191.28 is: 4,403.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.88 : 8,064.24 = 3,191.28 : x
  2. Step 2: Convert to fraction form
    5,843.88/8,064.24 = 3,191.28/x
  3. Step 3: Cross multiply
    5,843.88x = 8,064.24 × 3,191.28
  4. Step 4: Simplify right side
    5,843.88x = 25,735,247.83
  5. Step 5: Solve for x
    x = 25,735,247.83/5,843.88
  6. Step 6: Final answer
    x = 4,403.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.