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Finding the Fourth Proportional to 3,998.02, 5,999.91 and 2,266.18

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Solution

The fourth proportional to 3,998.02, 5,999.91 and 2,266.18 is: 3,400.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.02 : 5,999.91 = 2,266.18 : x
  2. Step 2: Convert to fraction form
    3,998.02/5,999.91 = 2,266.18/x
  3. Step 3: Cross multiply
    3,998.02x = 5,999.91 × 2,266.18
  4. Step 4: Simplify right side
    3,998.02x = 13,596,876.04
  5. Step 5: Solve for x
    x = 13,596,876.04/3,998.02
  6. Step 6: Final answer
    x = 3,400.90

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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.