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Finding the Fourth Proportional to 3,278.97, 4,891.95 and 3,122.43

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Solution

The fourth proportional to 3,278.97, 4,891.95 and 3,122.43 is: 4,658.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.97 : 4,891.95 = 3,122.43 : x
  2. Step 2: Convert to fraction form
    3,278.97/4,891.95 = 3,122.43/x
  3. Step 3: Cross multiply
    3,278.97x = 4,891.95 × 3,122.43
  4. Step 4: Simplify right side
    3,278.97x = 15,274,771.44
  5. Step 5: Solve for x
    x = 15,274,771.44/3,278.97
  6. Step 6: Final answer
    x = 4,658.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.