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Finding the Fourth Proportional to 3,825.33, 5,738.34 and 1,633.55

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Solution

The fourth proportional to 3,825.33, 5,738.34 and 1,633.55 is: 2,450.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.33 : 5,738.34 = 1,633.55 : x
  2. Step 2: Convert to fraction form
    3,825.33/5,738.34 = 1,633.55/x
  3. Step 3: Cross multiply
    3,825.33x = 5,738.34 × 1,633.55
  4. Step 4: Simplify right side
    3,825.33x = 9,373,836.62
  5. Step 5: Solve for x
    x = 9,373,836.62/3,825.33
  6. Step 6: Final answer
    x = 2,450.46

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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.