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Finding the Fourth Proportional to 3,826.52, 5,738.73 and 1,052.54

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Solution

The fourth proportional to 3,826.52, 5,738.73 and 1,052.54 is: 1,578.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826.52 : 5,738.73 = 1,052.54 : x
  2. Step 2: Convert to fraction form
    3,826.52/5,738.73 = 1,052.54/x
  3. Step 3: Cross multiply
    3,826.52x = 5,738.73 × 1,052.54
  4. Step 4: Simplify right side
    3,826.52x = 6,040,242.87
  5. Step 5: Solve for x
    x = 6,040,242.87/3,826.52
  6. Step 6: Final answer
    x = 1,578.52

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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.