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Finding the Fourth Proportional to 3,221.94, 4,825.17 and 1,757.46

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Solution

The fourth proportional to 3,221.94, 4,825.17 and 1,757.46 is: 2,631.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.94 : 4,825.17 = 1,757.46 : x
  2. Step 2: Convert to fraction form
    3,221.94/4,825.17 = 1,757.46/x
  3. Step 3: Cross multiply
    3,221.94x = 4,825.17 × 1,757.46
  4. Step 4: Simplify right side
    3,221.94x = 8,480,043.27
  5. Step 5: Solve for x
    x = 8,480,043.27/3,221.94
  6. Step 6: Final answer
    x = 2,631.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.