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Finding the Fourth Proportional to 5,846.09, 8,067.63 and 3,193.54

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Solution

The fourth proportional to 5,846.09, 8,067.63 and 3,193.54 is: 4,407.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.09 : 8,067.63 = 3,193.54 : x
  2. Step 2: Convert to fraction form
    5,846.09/8,067.63 = 3,193.54/x
  3. Step 3: Cross multiply
    5,846.09x = 8,067.63 × 3,193.54
  4. Step 4: Simplify right side
    5,846.09x = 25,764,336.30
  5. Step 5: Solve for x
    x = 25,764,336.30/5,846.09
  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.