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Finding the Fourth Proportional to 3,667.72, 5,061.36 and 1,989.08

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Solution

The fourth proportional to 3,667.72, 5,061.36 and 1,989.08 is: 2,744.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.72 : 5,061.36 = 1,989.08 : x
  2. Step 2: Convert to fraction form
    3,667.72/5,061.36 = 1,989.08/x
  3. Step 3: Cross multiply
    3,667.72x = 5,061.36 × 1,989.08
  4. Step 4: Simplify right side
    3,667.72x = 10,067,449.95
  5. Step 5: Solve for x
    x = 10,067,449.95/3,667.72
  6. Step 6: Final answer
    x = 2,744.88

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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.