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Finding the Fourth Proportional to 3,825.44, 5,738.08 and 1,052.10

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Solution

The fourth proportional to 3,825.44, 5,738.08 and 1,052.10 is: 1,578.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.44 : 5,738.08 = 1,052.10 : x
  2. Step 2: Convert to fraction form
    3,825.44/5,738.08 = 1,052.10/x
  3. Step 3: Cross multiply
    3,825.44x = 5,738.08 × 1,052.10
  4. Step 4: Simplify right side
    3,825.44x = 6,037,033.97
  5. Step 5: Solve for x
    x = 6,037,033.97/3,825.44
  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.