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Finding the Fourth Proportional to 3,942.96, 5,914.34 and 1,021.16

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Solution

The fourth proportional to 3,942.96, 5,914.34 and 1,021.16 is: 1,531.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.96 : 5,914.34 = 1,021.16 : x
  2. Step 2: Convert to fraction form
    3,942.96/5,914.34 = 1,021.16/x
  3. Step 3: Cross multiply
    3,942.96x = 5,914.34 × 1,021.16
  4. Step 4: Simplify right side
    3,942.96x = 6,039,487.43
  5. Step 5: Solve for x
    x = 6,039,487.43/3,942.96
  6. Step 6: Final answer
    x = 1,531.71

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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.