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Finding the Fourth Proportional to 3,977.89, 5,489.15 and 2,185.31

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Solution

The fourth proportional to 3,977.89, 5,489.15 and 2,185.31 is: 3,015.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.89 : 5,489.15 = 2,185.31 : x
  2. Step 2: Convert to fraction form
    3,977.89/5,489.15 = 2,185.31/x
  3. Step 3: Cross multiply
    3,977.89x = 5,489.15 × 2,185.31
  4. Step 4: Simplify right side
    3,977.89x = 11,995,513.57
  5. Step 5: Solve for x
    x = 11,995,513.57/3,977.89
  6. Step 6: Final answer
    x = 3,015.55

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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.