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Finding the Fourth Proportional to 5,846.06, 8,067.61 and 3,193.54

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Solution

The fourth proportional to 5,846.06, 8,067.61 and 3,193.54 is: 4,407.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.06 : 8,067.61 = 3,193.54 : x
  2. Step 2: Convert to fraction form
    5,846.06/8,067.61 = 3,193.54/x
  3. Step 3: Cross multiply
    5,846.06x = 8,067.61 × 3,193.54
  4. Step 4: Simplify right side
    5,846.06x = 25,764,235.24
  5. Step 5: Solve for x
    x = 25,764,235.24/5,846.06
  6. Step 6: Final answer
    x = 4,407.11

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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.