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Finding the Fourth Proportional to 3,947.99, 5,919.23 and 1,998.86

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Solution

The fourth proportional to 3,947.99, 5,919.23 and 1,998.86 is: 2,996.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.99 : 5,919.23 = 1,998.86 : x
  2. Step 2: Convert to fraction form
    3,947.99/5,919.23 = 1,998.86/x
  3. Step 3: Cross multiply
    3,947.99x = 5,919.23 × 1,998.86
  4. Step 4: Simplify right side
    3,947.99x = 11,831,687.48
  5. Step 5: Solve for x
    x = 11,831,687.48/3,947.99
  6. Step 6: Final answer
    x = 2,996.89

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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.