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Finding the Fourth Proportional to 5,755.72, 7,942.96 and 3,367.18

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Solution

The fourth proportional to 5,755.72, 7,942.96 and 3,367.18 is: 4,646.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.72 : 7,942.96 = 3,367.18 : x
  2. Step 2: Convert to fraction form
    5,755.72/7,942.96 = 3,367.18/x
  3. Step 3: Cross multiply
    5,755.72x = 7,942.96 × 3,367.18
  4. Step 4: Simplify right side
    5,755.72x = 26,745,376.05
  5. Step 5: Solve for x
    x = 26,745,376.05/5,755.72
  6. Step 6: Final answer
    x = 4,646.75

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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.