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Finding the Fourth Proportional to 3,796.14, 5,690.07 and 1,944.66

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Solution

The fourth proportional to 3,796.14, 5,690.07 and 1,944.66 is: 2,914.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.14 : 5,690.07 = 1,944.66 : x
  2. Step 2: Convert to fraction form
    3,796.14/5,690.07 = 1,944.66/x
  3. Step 3: Cross multiply
    3,796.14x = 5,690.07 × 1,944.66
  4. Step 4: Simplify right side
    3,796.14x = 11,065,251.53
  5. Step 5: Solve for x
    x = 11,065,251.53/3,796.14
  6. Step 6: Final answer
    x = 2,914.87

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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.