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Finding the Fourth Proportional to 3,847.72, 5,309.82 and 2,169.12

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Solution

The fourth proportional to 3,847.72, 5,309.82 and 2,169.12 is: 2,993.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.72 : 5,309.82 = 2,169.12 : x
  2. Step 2: Convert to fraction form
    3,847.72/5,309.82 = 2,169.12/x
  3. Step 3: Cross multiply
    3,847.72x = 5,309.82 × 2,169.12
  4. Step 4: Simplify right side
    3,847.72x = 11,517,636.76
  5. Step 5: Solve for x
    x = 11,517,636.76/3,847.72
  6. Step 6: Final answer
    x = 2,993.37

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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.