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Finding the Fourth Proportional to 3,796.12, 5,238.84 and 2,863

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Solution

The fourth proportional to 3,796.12, 5,238.84 and 2,863 is: 3,951.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.12 : 5,238.84 = 2,863 : x
  2. Step 2: Convert to fraction form
    3,796.12/5,238.84 = 2,863/x
  3. Step 3: Cross multiply
    3,796.12x = 5,238.84 × 2,863
  4. Step 4: Simplify right side
    3,796.12x = 14,998,798.92
  5. Step 5: Solve for x
    x = 14,998,798.92/3,796.12
  6. Step 6: Final answer
    x = 3,951.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.