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Finding the Fourth Proportional to 3,791.40, 5,676.84 and 2,145.48

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Solution

The fourth proportional to 3,791.40, 5,676.84 and 2,145.48 is: 3,212.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.40 : 5,676.84 = 2,145.48 : x
  2. Step 2: Convert to fraction form
    3,791.40/5,676.84 = 2,145.48/x
  3. Step 3: Cross multiply
    3,791.40x = 5,676.84 × 2,145.48
  4. Step 4: Simplify right side
    3,791.40x = 12,179,546.68
  5. Step 5: Solve for x
    x = 12,179,546.68/3,791.40
  6. Step 6: Final answer
    x = 3,212.41

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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.