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Finding the Fourth Proportional to 3,662.87, 5,496.23 and 1,998.18

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Solution

The fourth proportional to 3,662.87, 5,496.23 and 1,998.18 is: 2,998.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.87 : 5,496.23 = 1,998.18 : x
  2. Step 2: Convert to fraction form
    3,662.87/5,496.23 = 1,998.18/x
  3. Step 3: Cross multiply
    3,662.87x = 5,496.23 × 1,998.18
  4. Step 4: Simplify right side
    3,662.87x = 10,982,446.87
  5. Step 5: Solve for x
    x = 10,982,446.87/3,662.87
  6. Step 6: Final answer
    x = 2,998.32

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Double scale
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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.