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Finding the Fourth Proportional to 3,974.56, 5,481.80 and 2,645.96

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Solution

The fourth proportional to 3,974.56, 5,481.80 and 2,645.96 is: 3,649.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.56 : 5,481.80 = 2,645.96 : x
  2. Step 2: Convert to fraction form
    3,974.56/5,481.80 = 2,645.96/x
  3. Step 3: Cross multiply
    3,974.56x = 5,481.80 × 2,645.96
  4. Step 4: Simplify right side
    3,974.56x = 14,504,623.53
  5. Step 5: Solve for x
    x = 14,504,623.53/3,974.56
  6. Step 6: Final answer
    x = 3,649.37

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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.