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Finding the Fourth Proportional to 3,963.40, 5,469.54 and 2,194.96

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Solution

The fourth proportional to 3,963.40, 5,469.54 and 2,194.96 is: 3,029.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.40 : 5,469.54 = 2,194.96 : x
  2. Step 2: Convert to fraction form
    3,963.40/5,469.54 = 2,194.96/x
  3. Step 3: Cross multiply
    3,963.40x = 5,469.54 × 2,194.96
  4. Step 4: Simplify right side
    3,963.40x = 12,005,421.52
  5. Step 5: Solve for x
    x = 12,005,421.52/3,963.40
  6. Step 6: Final answer
    x = 3,029.07

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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.