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Finding the Fourth Proportional to 3,201.20, 4,793.70 and 2,553.20

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Solution

The fourth proportional to 3,201.20, 4,793.70 and 2,553.20 is: 3,823.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.20 : 4,793.70 = 2,553.20 : x
  2. Step 2: Convert to fraction form
    3,201.20/4,793.70 = 2,553.20/x
  3. Step 3: Cross multiply
    3,201.20x = 4,793.70 × 2,553.20
  4. Step 4: Simplify right side
    3,201.20x = 12,239,274.84
  5. Step 5: Solve for x
    x = 12,239,274.84/3,201.20
  6. Step 6: Final answer
    x = 3,823.34

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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.