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Finding the Fourth Proportional to 5,846.44, 8,067.84 and 3,193.79

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Solution

The fourth proportional to 5,846.44, 8,067.84 and 3,193.79 is: 4,407.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.44 : 8,067.84 = 3,193.79 : x
  2. Step 2: Convert to fraction form
    5,846.44/8,067.84 = 3,193.79/x
  3. Step 3: Cross multiply
    5,846.44x = 8,067.84 × 3,193.79
  4. Step 4: Simplify right side
    5,846.44x = 25,766,986.71
  5. Step 5: Solve for x
    x = 25,766,986.71/5,846.44
  6. Step 6: Final answer
    x = 4,407.30

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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.