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Finding the Fourth Proportional to 3,998.42, 5,998.33 and 1,922.18

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Solution

The fourth proportional to 3,998.42, 5,998.33 and 1,922.18 is: 2,883.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.42 : 5,998.33 = 1,922.18 : x
  2. Step 2: Convert to fraction form
    3,998.42/5,998.33 = 1,922.18/x
  3. Step 3: Cross multiply
    3,998.42x = 5,998.33 × 1,922.18
  4. Step 4: Simplify right side
    3,998.42x = 11,529,898.46
  5. Step 5: Solve for x
    x = 11,529,898.46/3,998.42
  6. Step 6: Final answer
    x = 2,883.62

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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.