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Finding the Fourth Proportional to 5,067.75, 7,601.67 and 1,989.75

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Solution

The fourth proportional to 5,067.75, 7,601.67 and 1,989.75 is: 2,984.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,067.75 : 7,601.67 = 1,989.75 : x
  2. Step 2: Convert to fraction form
    5,067.75/7,601.67 = 1,989.75/x
  3. Step 3: Cross multiply
    5,067.75x = 7,601.67 × 1,989.75
  4. Step 4: Simplify right side
    5,067.75x = 15,125,422.88
  5. Step 5: Solve for x
    x = 15,125,422.88/5,067.75
  6. Step 6: Final answer
    x = 2,984.64

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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.