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Finding the Fourth Proportional to 3,824.60, 5,732.03 and 1,745.73

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Solution

The fourth proportional to 3,824.60, 5,732.03 and 1,745.73 is: 2,616.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.60 : 5,732.03 = 1,745.73 : x
  2. Step 2: Convert to fraction form
    3,824.60/5,732.03 = 1,745.73/x
  3. Step 3: Cross multiply
    3,824.60x = 5,732.03 × 1,745.73
  4. Step 4: Simplify right side
    3,824.60x = 10,006,581.10
  5. Step 5: Solve for x
    x = 10,006,581.10/3,824.60
  6. Step 6: Final answer
    x = 2,616.38

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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.