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Finding the Fourth Proportional to 3,920.96, 5,882.80 and 3,340.41

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Solution

The fourth proportional to 3,920.96, 5,882.80 and 3,340.41 is: 5,011.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.96 : 5,882.80 = 3,340.41 : x
  2. Step 2: Convert to fraction form
    3,920.96/5,882.80 = 3,340.41/x
  3. Step 3: Cross multiply
    3,920.96x = 5,882.80 × 3,340.41
  4. Step 4: Simplify right side
    3,920.96x = 19,650,998.83
  5. Step 5: Solve for x
    x = 19,650,998.83/3,920.96
  6. Step 6: Final answer
    x = 5,011.79

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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.