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Finding the Fourth Proportional to 3,754.43, 5,635.17 and 1,906.87

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Solution

The fourth proportional to 3,754.43, 5,635.17 and 1,906.87 is: 2,862.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.43 : 5,635.17 = 1,906.87 : x
  2. Step 2: Convert to fraction form
    3,754.43/5,635.17 = 1,906.87/x
  3. Step 3: Cross multiply
    3,754.43x = 5,635.17 × 1,906.87
  4. Step 4: Simplify right side
    3,754.43x = 10,745,536.62
  5. Step 5: Solve for x
    x = 10,745,536.62/3,754.43
  6. Step 6: Final answer
    x = 2,862.10

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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.