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Finding the Fourth Proportional to 3,546.21, 4,893.78 and 1,974.30

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Solution

The fourth proportional to 3,546.21, 4,893.78 and 1,974.30 is: 2,724.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.21 : 4,893.78 = 1,974.30 : x
  2. Step 2: Convert to fraction form
    3,546.21/4,893.78 = 1,974.30/x
  3. Step 3: Cross multiply
    3,546.21x = 4,893.78 × 1,974.30
  4. Step 4: Simplify right side
    3,546.21x = 9,661,789.85
  5. Step 5: Solve for x
    x = 9,661,789.85/3,546.21
  6. Step 6: Final answer
    x = 2,724.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.