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Finding the Fourth Proportional to 3,847.94, 5,770.08 and 1,997.20

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Solution

The fourth proportional to 3,847.94, 5,770.08 and 1,997.20 is: 2,994.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.94 : 5,770.08 = 1,997.20 : x
  2. Step 2: Convert to fraction form
    3,847.94/5,770.08 = 1,997.20/x
  3. Step 3: Cross multiply
    3,847.94x = 5,770.08 × 1,997.20
  4. Step 4: Simplify right side
    3,847.94x = 11,524,003.78
  5. Step 5: Solve for x
    x = 11,524,003.78/3,847.94
  6. Step 6: Final answer
    x = 2,994.85

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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.