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Finding the Fourth Proportional to 3,998.32, 5,997.43 and 2,243.32

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Solution

The fourth proportional to 3,998.32, 5,997.43 and 2,243.32 is: 3,364.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.32 : 5,997.43 = 2,243.32 : x
  2. Step 2: Convert to fraction form
    3,998.32/5,997.43 = 2,243.32/x
  3. Step 3: Cross multiply
    3,998.32x = 5,997.43 × 2,243.32
  4. Step 4: Simplify right side
    3,998.32x = 13,454,154.67
  5. Step 5: Solve for x
    x = 13,454,154.67/3,998.32
  6. Step 6: Final answer
    x = 3,364.95

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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.