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Finding the Fourth Proportional to 5,198.14, 7,790.46 and 3,961

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Solution

The fourth proportional to 5,198.14, 7,790.46 and 3,961 is: 5,936.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.14 : 7,790.46 = 3,961 : x
  2. Step 2: Convert to fraction form
    5,198.14/7,790.46 = 3,961/x
  3. Step 3: Cross multiply
    5,198.14x = 7,790.46 × 3,961
  4. Step 4: Simplify right side
    5,198.14x = 30,858,012.06
  5. Step 5: Solve for x
    x = 30,858,012.06/5,198.14
  6. Step 6: Final answer
    x = 5,936.36

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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.