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Finding the Fourth Proportional to 3,930.86, 5,891.27 and 1,846.26

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Solution

The fourth proportional to 3,930.86, 5,891.27 and 1,846.26 is: 2,767.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.86 : 5,891.27 = 1,846.26 : x
  2. Step 2: Convert to fraction form
    3,930.86/5,891.27 = 1,846.26/x
  3. Step 3: Cross multiply
    3,930.86x = 5,891.27 × 1,846.26
  4. Step 4: Simplify right side
    3,930.86x = 10,876,806.92
  5. Step 5: Solve for x
    x = 10,876,806.92/3,930.86
  6. Step 6: Final answer
    x = 2,767.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.