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Finding the Fourth Proportional to 4,682.73, 7,018.01 and 1,906.17

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Solution

The fourth proportional to 4,682.73, 7,018.01 and 1,906.17 is: 2,856.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.73 : 7,018.01 = 1,906.17 : x
  2. Step 2: Convert to fraction form
    4,682.73/7,018.01 = 1,906.17/x
  3. Step 3: Cross multiply
    4,682.73x = 7,018.01 × 1,906.17
  4. Step 4: Simplify right side
    4,682.73x = 13,377,520.12
  5. Step 5: Solve for x
    x = 13,377,520.12/4,682.73
  6. Step 6: Final answer
    x = 2,856.78

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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.