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Finding the Fourth Proportional to 3,824.34, 5,738.95 and 1,633.09

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Solution

The fourth proportional to 3,824.34, 5,738.95 and 1,633.09 is: 2,450.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.34 : 5,738.95 = 1,633.09 : x
  2. Step 2: Convert to fraction form
    3,824.34/5,738.95 = 1,633.09/x
  3. Step 3: Cross multiply
    3,824.34x = 5,738.95 × 1,633.09
  4. Step 4: Simplify right side
    3,824.34x = 9,372,221.86
  5. Step 5: Solve for x
    x = 9,372,221.86/3,824.34
  6. Step 6: Final answer
    x = 2,450.68

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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.