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Finding the Fourth Proportional to 5,840.42, 8,757.38 and 1,942.70

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Solution

The fourth proportional to 5,840.42, 8,757.38 and 1,942.70 is: 2,912.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,840.42 : 8,757.38 = 1,942.70 : x
  2. Step 2: Convert to fraction form
    5,840.42/8,757.38 = 1,942.70/x
  3. Step 3: Cross multiply
    5,840.42x = 8,757.38 × 1,942.70
  4. Step 4: Simplify right side
    5,840.42x = 17,012,923.20
  5. Step 5: Solve for x
    x = 17,012,923.20/5,840.42
  6. Step 6: Final answer
    x = 2,912.96

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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.