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Finding the Fourth Proportional to 3,997.81, 5,993.91 and 1,775.44

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Solution

The fourth proportional to 3,997.81, 5,993.91 and 1,775.44 is: 2,661.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.81 : 5,993.91 = 1,775.44 : x
  2. Step 2: Convert to fraction form
    3,997.81/5,993.91 = 1,775.44/x
  3. Step 3: Cross multiply
    3,997.81x = 5,993.91 × 1,775.44
  4. Step 4: Simplify right side
    3,997.81x = 10,641,835.06
  5. Step 5: Solve for x
    x = 10,641,835.06/3,997.81
  6. Step 6: Final answer
    x = 2,661.92

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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.