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Finding the Fourth Proportional to 3,825.78, 5,738.46 and 1,052.40

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Solution

The fourth proportional to 3,825.78, 5,738.46 and 1,052.40 is: 1,578.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.78 : 5,738.46 = 1,052.40 : x
  2. Step 2: Convert to fraction form
    3,825.78/5,738.46 = 1,052.40/x
  3. Step 3: Cross multiply
    3,825.78x = 5,738.46 × 1,052.40
  4. Step 4: Simplify right side
    3,825.78x = 6,039,155.30
  5. Step 5: Solve for x
    x = 6,039,155.30/3,825.78
  6. Step 6: Final answer
    x = 1,578.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.