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Finding the Fourth Proportional to 3,763.25, 5,193.24 and 2,169.31

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Solution

The fourth proportional to 3,763.25, 5,193.24 and 2,169.31 is: 2,993.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.25 : 5,193.24 = 2,169.31 : x
  2. Step 2: Convert to fraction form
    3,763.25/5,193.24 = 2,169.31/x
  3. Step 3: Cross multiply
    3,763.25x = 5,193.24 × 2,169.31
  4. Step 4: Simplify right side
    3,763.25x = 11,265,734.48
  5. Step 5: Solve for x
    x = 11,265,734.48/3,763.25
  6. Step 6: Final answer
    x = 2,993.62

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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.