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Finding the Fourth Proportional to 3,825.36, 5,737.14 and 1,052.25

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Solution

The fourth proportional to 3,825.36, 5,737.14 and 1,052.25 is: 1,578.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.36 : 5,737.14 = 1,052.25 : x
  2. Step 2: Convert to fraction form
    3,825.36/5,737.14 = 1,052.25/x
  3. Step 3: Cross multiply
    3,825.36x = 5,737.14 × 1,052.25
  4. Step 4: Simplify right side
    3,825.36x = 6,036,905.57
  5. Step 5: Solve for x
    x = 6,036,905.57/3,825.36
  6. Step 6: Final answer
    x = 1,578.13

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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.