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Finding the Fourth Proportional to 3,962.97, 5,468.67 and 2,194.47

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Solution

The fourth proportional to 3,962.97, 5,468.67 and 2,194.47 is: 3,028.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.97 : 5,468.67 = 2,194.47 : x
  2. Step 2: Convert to fraction form
    3,962.97/5,468.67 = 2,194.47/x
  3. Step 3: Cross multiply
    3,962.97x = 5,468.67 × 2,194.47
  4. Step 4: Simplify right side
    3,962.97x = 12,000,832.25
  5. Step 5: Solve for x
    x = 12,000,832.25/3,962.97
  6. Step 6: Final answer
    x = 3,028.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.