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Finding the Fourth Proportional to 3,961.27, 5,942.09 and 1,039.57

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Solution

The fourth proportional to 3,961.27, 5,942.09 and 1,039.57 is: 1,559.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,961.27 : 5,942.09 = 1,039.57 : x
  2. Step 2: Convert to fraction form
    3,961.27/5,942.09 = 1,039.57/x
  3. Step 3: Cross multiply
    3,961.27x = 5,942.09 × 1,039.57
  4. Step 4: Simplify right side
    3,961.27x = 6,177,218.50
  5. Step 5: Solve for x
    x = 6,177,218.50/3,961.27
  6. Step 6: Final answer
    x = 1,559.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.