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Finding the Fourth Proportional to 5,067.38, 7,599 and 1,947.48

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Solution

The fourth proportional to 5,067.38, 7,599 and 1,947.48 is: 2,920.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,067.38 : 7,599 = 1,947.48 : x
  2. Step 2: Convert to fraction form
    5,067.38/7,599 = 1,947.48/x
  3. Step 3: Cross multiply
    5,067.38x = 7,599 × 1,947.48
  4. Step 4: Simplify right side
    5,067.38x = 14,798,900.52
  5. Step 5: Solve for x
    x = 14,798,900.52/5,067.38
  6. Step 6: Final answer
    x = 2,920.43

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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.