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Finding the Fourth Proportional to 3,962.72, 5,468.30 and 2,194.22

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Solution

The fourth proportional to 3,962.72, 5,468.30 and 2,194.22 is: 3,027.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.72 : 5,468.30 = 2,194.22 : x
  2. Step 2: Convert to fraction form
    3,962.72/5,468.30 = 2,194.22/x
  3. Step 3: Cross multiply
    3,962.72x = 5,468.30 × 2,194.22
  4. Step 4: Simplify right side
    3,962.72x = 11,998,653.23
  5. Step 5: Solve for x
    x = 11,998,653.23/3,962.72
  6. Step 6: Final answer
    x = 3,027.88

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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.