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Finding the Fourth Proportional to 3,823.96, 5,738.50 and 1,633.20

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Solution

The fourth proportional to 3,823.96, 5,738.50 and 1,633.20 is: 2,450.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.96 : 5,738.50 = 1,633.20 : x
  2. Step 2: Convert to fraction form
    3,823.96/5,738.50 = 1,633.20/x
  3. Step 3: Cross multiply
    3,823.96x = 5,738.50 × 1,633.20
  4. Step 4: Simplify right side
    3,823.96x = 9,372,118.20
  5. Step 5: Solve for x
    x = 9,372,118.20/3,823.96
  6. Step 6: Final answer
    x = 2,450.89

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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.