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Finding the Fourth Proportional to 3,809.76, 5,257.46 and 2,238.76

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Solution

The fourth proportional to 3,809.76, 5,257.46 and 2,238.76 is: 3,089.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.76 : 5,257.46 = 2,238.76 : x
  2. Step 2: Convert to fraction form
    3,809.76/5,257.46 = 2,238.76/x
  3. Step 3: Cross multiply
    3,809.76x = 5,257.46 × 2,238.76
  4. Step 4: Simplify right side
    3,809.76x = 11,770,191.15
  5. Step 5: Solve for x
    x = 11,770,191.15/3,809.76
  6. Step 6: Final answer
    x = 3,089.48

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Half scale
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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.