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Finding the Fourth Proportional to 3,825.57, 5,737.24 and 1,052.33

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Solution

The fourth proportional to 3,825.57, 5,737.24 and 1,052.33 is: 1,578.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.57 : 5,737.24 = 1,052.33 : x
  2. Step 2: Convert to fraction form
    3,825.57/5,737.24 = 1,052.33/x
  3. Step 3: Cross multiply
    3,825.57x = 5,737.24 × 1,052.33
  4. Step 4: Simplify right side
    3,825.57x = 6,037,469.77
  5. Step 5: Solve for x
    x = 6,037,469.77/3,825.57
  6. Step 6: Final answer
    x = 1,578.19

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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.