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Finding the Fourth Proportional to 3,825.68, 5,737.57 and 1,052.21

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Solution

The fourth proportional to 3,825.68, 5,737.57 and 1,052.21 is: 1,578.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.68 : 5,737.57 = 1,052.21 : x
  2. Step 2: Convert to fraction form
    3,825.68/5,737.57 = 1,052.21/x
  3. Step 3: Cross multiply
    3,825.68x = 5,737.57 × 1,052.21
  4. Step 4: Simplify right side
    3,825.68x = 6,037,148.73
  5. Step 5: Solve for x
    x = 6,037,148.73/3,825.68
  6. Step 6: Final answer
    x = 1,578.06

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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.