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Finding the Fourth Proportional to 3,791.90, 5,687.89 and 1,942.02

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Solution

The fourth proportional to 3,791.90, 5,687.89 and 1,942.02 is: 2,913.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.90 : 5,687.89 = 1,942.02 : x
  2. Step 2: Convert to fraction form
    3,791.90/5,687.89 = 1,942.02/x
  3. Step 3: Cross multiply
    3,791.90x = 5,687.89 × 1,942.02
  4. Step 4: Simplify right side
    3,791.90x = 11,045,991.28
  5. Step 5: Solve for x
    x = 11,045,991.28/3,791.90
  6. Step 6: Final answer
    x = 2,913.05

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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.