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Finding the Fourth Proportional to 3,997.81, 5,997.39 and 1,777.43

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Solution

The fourth proportional to 3,997.81, 5,997.39 and 1,777.43 is: 2,666.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.81 : 5,997.39 = 1,777.43 : x
  2. Step 2: Convert to fraction form
    3,997.81/5,997.39 = 1,777.43/x
  3. Step 3: Cross multiply
    3,997.81x = 5,997.39 × 1,777.43
  4. Step 4: Simplify right side
    3,997.81x = 10,659,950.80
  5. Step 5: Solve for x
    x = 10,659,950.80/3,997.81
  6. Step 6: Final answer
    x = 2,666.45

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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.