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Finding the Fourth Proportional to 3,998.14, 5,993.11 and 1,532.32

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Solution

The fourth proportional to 3,998.14, 5,993.11 and 1,532.32 is: 2,296.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.14 : 5,993.11 = 1,532.32 : x
  2. Step 2: Convert to fraction form
    3,998.14/5,993.11 = 1,532.32/x
  3. Step 3: Cross multiply
    3,998.14x = 5,993.11 × 1,532.32
  4. Step 4: Simplify right side
    3,998.14x = 9,183,362.32
  5. Step 5: Solve for x
    x = 9,183,362.32/3,998.14
  6. Step 6: Final answer
    x = 2,296.91

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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.