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Finding the Fourth Proportional to 5,679.89, 7,836.42 and 3,441.05

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Solution

The fourth proportional to 5,679.89, 7,836.42 and 3,441.05 is: 4,747.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.89 : 7,836.42 = 3,441.05 : x
  2. Step 2: Convert to fraction form
    5,679.89/7,836.42 = 3,441.05/x
  3. Step 3: Cross multiply
    5,679.89x = 7,836.42 × 3,441.05
  4. Step 4: Simplify right side
    5,679.89x = 26,965,513.04
  5. Step 5: Solve for x
    x = 26,965,513.04/5,679.89
  6. Step 6: Final answer
    x = 4,747.54

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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.