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Finding the Fourth Proportional to 3,962.97, 5,468.94 and 2,194.61

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Solution

The fourth proportional to 3,962.97, 5,468.94 and 2,194.61 is: 3,028.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.97 : 5,468.94 = 2,194.61 : x
  2. Step 2: Convert to fraction form
    3,962.97/5,468.94 = 2,194.61/x
  3. Step 3: Cross multiply
    3,962.97x = 5,468.94 × 2,194.61
  4. Step 4: Simplify right side
    3,962.97x = 12,002,152.10
  5. Step 5: Solve for x
    x = 12,002,152.10/3,962.97
  6. Step 6: Final answer
    x = 3,028.58

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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.