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Finding the Fourth Proportional to 3,824.73, 5,737.50 and 1,359.78

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Solution

The fourth proportional to 3,824.73, 5,737.50 and 1,359.78 is: 2,039.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.73 : 5,737.50 = 1,359.78 : x
  2. Step 2: Convert to fraction form
    3,824.73/5,737.50 = 1,359.78/x
  3. Step 3: Cross multiply
    3,824.73x = 5,737.50 × 1,359.78
  4. Step 4: Simplify right side
    3,824.73x = 7,801,737.75
  5. Step 5: Solve for x
    x = 7,801,737.75/3,824.73
  6. Step 6: Final answer
    x = 2,039.81

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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.