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Finding the Fourth Proportional to 5,638.67, 7,773.23 and 3,954.85

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Solution

The fourth proportional to 5,638.67, 7,773.23 and 3,954.85 is: 5,451.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.67 : 7,773.23 = 3,954.85 : x
  2. Step 2: Convert to fraction form
    5,638.67/7,773.23 = 3,954.85/x
  3. Step 3: Cross multiply
    5,638.67x = 7,773.23 × 3,954.85
  4. Step 4: Simplify right side
    5,638.67x = 30,741,958.67
  5. Step 5: Solve for x
    x = 30,741,958.67/5,638.67
  6. Step 6: Final answer
    x = 5,451.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.