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Finding the Fourth Proportional to 3,974.64, 5,961.25 and 2,221.39

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Solution

The fourth proportional to 3,974.64, 5,961.25 and 2,221.39 is: 3,331.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.64 : 5,961.25 = 2,221.39 : x
  2. Step 2: Convert to fraction form
    3,974.64/5,961.25 = 2,221.39/x
  3. Step 3: Cross multiply
    3,974.64x = 5,961.25 × 2,221.39
  4. Step 4: Simplify right side
    3,974.64x = 13,242,261.14
  5. Step 5: Solve for x
    x = 13,242,261.14/3,974.64
  6. Step 6: Final answer
    x = 3,331.69

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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.