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Finding the Fourth Proportional to 3,481.96, 4,805.87 and 2,406.74

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Solution

The fourth proportional to 3,481.96, 4,805.87 and 2,406.74 is: 3,321.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.96 : 4,805.87 = 2,406.74 : x
  2. Step 2: Convert to fraction form
    3,481.96/4,805.87 = 2,406.74/x
  3. Step 3: Cross multiply
    3,481.96x = 4,805.87 × 2,406.74
  4. Step 4: Simplify right side
    3,481.96x = 11,566,479.56
  5. Step 5: Solve for x
    x = 11,566,479.56/3,481.96
  6. Step 6: Final answer
    x = 3,321.83

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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.