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Finding the Fourth Proportional to 3,857.87, 5,786.71 and 1,084.75

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Solution

The fourth proportional to 3,857.87, 5,786.71 and 1,084.75 is: 1,627.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.87 : 5,786.71 = 1,084.75 : x
  2. Step 2: Convert to fraction form
    3,857.87/5,786.71 = 1,084.75/x
  3. Step 3: Cross multiply
    3,857.87x = 5,786.71 × 1,084.75
  4. Step 4: Simplify right side
    3,857.87x = 6,277,116.49
  5. Step 5: Solve for x
    x = 6,277,116.49/3,857.87
  6. Step 6: Final answer
    x = 1,627.09

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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.