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Finding the Fourth Proportional to 3,866.75, 5,797.14 and 1,917.44

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Solution

The fourth proportional to 3,866.75, 5,797.14 and 1,917.44 is: 2,874.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.75 : 5,797.14 = 1,917.44 : x
  2. Step 2: Convert to fraction form
    3,866.75/5,797.14 = 1,917.44/x
  3. Step 3: Cross multiply
    3,866.75x = 5,797.14 × 1,917.44
  4. Step 4: Simplify right side
    3,866.75x = 11,115,639.14
  5. Step 5: Solve for x
    x = 11,115,639.14/3,866.75
  6. Step 6: Final answer
    x = 2,874.68

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1.5x scale

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.