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Finding the Fourth Proportional to 2,861.87, 3,969.57 and 2,786.00

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Solution

The fourth proportional to 2,861.87, 3,969.57 and 2,786.00 is: 3,864.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.87 : 3,969.57 = 2,786.00 : x
  2. Step 2: Convert to fraction form
    2,861.87/3,969.57 = 2,786.00/x
  3. Step 3: Cross multiply
    2,861.87x = 3,969.57 × 2,786.00
  4. Step 4: Simplify right side
    2,861.87x = 11,059,202.17
  5. Step 5: Solve for x
    x = 11,059,202.17/2,861.87
  6. Step 6: Final answer
    x = 3,864.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.