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Finding the Fourth Proportional to 5,769.43, 7,961.81 and 3,116.84

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Solution

The fourth proportional to 5,769.43, 7,961.81 and 3,116.84 is: 4,301.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.43 : 7,961.81 = 3,116.84 : x
  2. Step 2: Convert to fraction form
    5,769.43/7,961.81 = 3,116.84/x
  3. Step 3: Cross multiply
    5,769.43x = 7,961.81 × 3,116.84
  4. Step 4: Simplify right side
    5,769.43x = 24,815,687.88
  5. Step 5: Solve for x
    x = 24,815,687.88/5,769.43
  6. Step 6: Final answer
    x = 4,301.24

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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.