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Finding the Fourth Proportional to 3,205.22, 4,770.49 and 3,174.44

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Solution

The fourth proportional to 3,205.22, 4,770.49 and 3,174.44 is: 4,724.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.22 : 4,770.49 = 3,174.44 : x
  2. Step 2: Convert to fraction form
    3,205.22/4,770.49 = 3,174.44/x
  3. Step 3: Cross multiply
    3,205.22x = 4,770.49 × 3,174.44
  4. Step 4: Simplify right side
    3,205.22x = 15,143,634.28
  5. Step 5: Solve for x
    x = 15,143,634.28/3,205.22
  6. Step 6: Final answer
    x = 4,724.68

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Why These Related Problems?

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