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Finding the Fourth Proportional to 3,793.56, 5,687.90 and 1,601.70

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Solution

The fourth proportional to 3,793.56, 5,687.90 and 1,601.70 is: 2,401.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.56 : 5,687.90 = 1,601.70 : x
  2. Step 2: Convert to fraction form
    3,793.56/5,687.90 = 1,601.70/x
  3. Step 3: Cross multiply
    3,793.56x = 5,687.90 × 1,601.70
  4. Step 4: Simplify right side
    3,793.56x = 9,110,309.43
  5. Step 5: Solve for x
    x = 9,110,309.43/3,793.56
  6. Step 6: Final answer
    x = 2,401.52

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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.