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Finding the Fourth Proportional to 3,791.43, 5,683.30 and 1,450.84

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Solution

The fourth proportional to 3,791.43, 5,683.30 and 1,450.84 is: 2,174.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.43 : 5,683.30 = 1,450.84 : x
  2. Step 2: Convert to fraction form
    3,791.43/5,683.30 = 1,450.84/x
  3. Step 3: Cross multiply
    3,791.43x = 5,683.30 × 1,450.84
  4. Step 4: Simplify right side
    3,791.43x = 8,245,546.58
  5. Step 5: Solve for x
    x = 8,245,546.58/3,791.43
  6. Step 6: Final answer
    x = 2,174.78

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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.