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Finding the Fourth Proportional to 3,962.59, 5,468.39 and 2,194.23

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Solution

The fourth proportional to 3,962.59, 5,468.39 and 2,194.23 is: 3,028.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.59 : 5,468.39 = 2,194.23 : x
  2. Step 2: Convert to fraction form
    3,962.59/5,468.39 = 2,194.23/x
  3. Step 3: Cross multiply
    3,962.59x = 5,468.39 × 2,194.23
  4. Step 4: Simplify right side
    3,962.59x = 11,998,905.39
  5. Step 5: Solve for x
    x = 11,998,905.39/3,962.59
  6. Step 6: Final answer
    x = 3,028.05

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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.