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Finding the Fourth Proportional to 4,906.44, 6,770.79 and 3,709.26

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Solution

The fourth proportional to 4,906.44, 6,770.79 and 3,709.26 is: 5,118.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.44 : 6,770.79 = 3,709.26 : x
  2. Step 2: Convert to fraction form
    4,906.44/6,770.79 = 3,709.26/x
  3. Step 3: Cross multiply
    4,906.44x = 6,770.79 × 3,709.26
  4. Step 4: Simplify right side
    4,906.44x = 25,114,620.52
  5. Step 5: Solve for x
    x = 25,114,620.52/4,906.44
  6. Step 6: Final answer
    x = 5,118.71

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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.