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Finding the Fourth Proportional to 6,481.20, 8,941 and 3,826.84

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Solution

The fourth proportional to 6,481.20, 8,941 and 3,826.84 is: 5,279.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.20 : 8,941 = 3,826.84 : x
  2. Step 2: Convert to fraction form
    6,481.20/8,941 = 3,826.84/x
  3. Step 3: Cross multiply
    6,481.20x = 8,941 × 3,826.84
  4. Step 4: Simplify right side
    6,481.20x = 34,215,776.44
  5. Step 5: Solve for x
    x = 34,215,776.44/6,481.20
  6. Step 6: Final answer
    x = 5,279.23

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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.