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Finding the Fourth Proportional to 3,963.79, 5,469.68 and 2,194.93

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Solution

The fourth proportional to 3,963.79, 5,469.68 and 2,194.93 is: 3,028.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.79 : 5,469.68 = 2,194.93 : x
  2. Step 2: Convert to fraction form
    3,963.79/5,469.68 = 2,194.93/x
  3. Step 3: Cross multiply
    3,963.79x = 5,469.68 × 2,194.93
  4. Step 4: Simplify right side
    3,963.79x = 12,005,553.75
  5. Step 5: Solve for x
    x = 12,005,553.75/3,963.79
  6. Step 6: Final answer
    x = 3,028.81

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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.