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Finding the Fourth Proportional to 3,571.64, 4,930.20 and 3,197.96

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Solution

The fourth proportional to 3,571.64, 4,930.20 and 3,197.96 is: 4,414.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,571.64 : 4,930.20 = 3,197.96 : x
  2. Step 2: Convert to fraction form
    3,571.64/4,930.20 = 3,197.96/x
  3. Step 3: Cross multiply
    3,571.64x = 4,930.20 × 3,197.96
  4. Step 4: Simplify right side
    3,571.64x = 15,766,582.39
  5. Step 5: Solve for x
    x = 15,766,582.39/3,571.64
  6. Step 6: Final answer
    x = 4,414.38

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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.