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Finding the Fourth Proportional to 3,942.62, 5,914.09 and 1,020.94

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Solution

The fourth proportional to 3,942.62, 5,914.09 and 1,020.94 is: 1,531.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.62 : 5,914.09 = 1,020.94 : x
  2. Step 2: Convert to fraction form
    3,942.62/5,914.09 = 1,020.94/x
  3. Step 3: Cross multiply
    3,942.62x = 5,914.09 × 1,020.94
  4. Step 4: Simplify right side
    3,942.62x = 6,037,896.37
  5. Step 5: Solve for x
    x = 6,037,896.37/3,942.62
  6. Step 6: Final answer
    x = 1,531.44

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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.