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Finding the Fourth Proportional to 3,383.97, 4,659.48 and 2,961.96

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Solution

The fourth proportional to 3,383.97, 4,659.48 and 2,961.96 is: 4,078.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383.97 : 4,659.48 = 2,961.96 : x
  2. Step 2: Convert to fraction form
    3,383.97/4,659.48 = 2,961.96/x
  3. Step 3: Cross multiply
    3,383.97x = 4,659.48 × 2,961.96
  4. Step 4: Simplify right side
    3,383.97x = 13,801,193.38
  5. Step 5: Solve for x
    x = 13,801,193.38/3,383.97
  6. Step 6: Final answer
    x = 4,078.40

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Why These Related Problems?

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