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Finding the Fourth Proportional to 3,847.69, 5,765.96 and 2,091.21

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Solution

The fourth proportional to 3,847.69, 5,765.96 and 2,091.21 is: 3,133.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.69 : 5,765.96 = 2,091.21 : x
  2. Step 2: Convert to fraction form
    3,847.69/5,765.96 = 2,091.21/x
  3. Step 3: Cross multiply
    3,847.69x = 5,765.96 × 2,091.21
  4. Step 4: Simplify right side
    3,847.69x = 12,057,833.21
  5. Step 5: Solve for x
    x = 12,057,833.21/3,847.69
  6. Step 6: Final answer
    x = 3,133.79

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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.