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Finding the Fourth Proportional to 3,927.70, 5,891.55 and 1,983.70

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Solution

The fourth proportional to 3,927.70, 5,891.55 and 1,983.70 is: 2,975.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.70 : 5,891.55 = 1,983.70 : x
  2. Step 2: Convert to fraction form
    3,927.70/5,891.55 = 1,983.70/x
  3. Step 3: Cross multiply
    3,927.70x = 5,891.55 × 1,983.70
  4. Step 4: Simplify right side
    3,927.70x = 11,687,067.74
  5. Step 5: Solve for x
    x = 11,687,067.74/3,927.70
  6. Step 6: Final answer
    x = 2,975.55

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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.