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Finding the Fourth Proportional to 3,962.69, 5,468.77 and 2,194.31

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Solution

The fourth proportional to 3,962.69, 5,468.77 and 2,194.31 is: 3,028.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.69 : 5,468.77 = 2,194.31 : x
  2. Step 2: Convert to fraction form
    3,962.69/5,468.77 = 2,194.31/x
  3. Step 3: Cross multiply
    3,962.69x = 5,468.77 × 2,194.31
  4. Step 4: Simplify right side
    3,962.69x = 12,000,176.70
  5. Step 5: Solve for x
    x = 12,000,176.70/3,962.69
  6. Step 6: Final answer
    x = 3,028.29

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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.