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Finding the Fourth Proportional to 5,846.62, 8,067.94 and 3,194.02

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Solution

The fourth proportional to 5,846.62, 8,067.94 and 3,194.02 is: 4,407.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.62 : 8,067.94 = 3,194.02 : x
  2. Step 2: Convert to fraction form
    5,846.62/8,067.94 = 3,194.02/x
  3. Step 3: Cross multiply
    5,846.62x = 8,067.94 × 3,194.02
  4. Step 4: Simplify right side
    5,846.62x = 25,769,161.72
  5. Step 5: Solve for x
    x = 25,769,161.72/5,846.62
  6. Step 6: Final answer
    x = 4,407.53

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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.