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Finding the Fourth Proportional to 3,942.87, 5,914.26 and 2,706.50

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Solution

The fourth proportional to 3,942.87, 5,914.26 and 2,706.50 is: 4,059.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.87 : 5,914.26 = 2,706.50 : x
  2. Step 2: Convert to fraction form
    3,942.87/5,914.26 = 2,706.50/x
  3. Step 3: Cross multiply
    3,942.87x = 5,914.26 × 2,706.50
  4. Step 4: Simplify right side
    3,942.87x = 16,006,944.69
  5. Step 5: Solve for x
    x = 16,006,944.69/3,942.87
  6. Step 6: Final answer
    x = 4,059.72

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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.