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Finding the Fourth Proportional to 3,906.62, 5,863.98 and 2,617.10

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Solution

The fourth proportional to 3,906.62, 5,863.98 and 2,617.10 is: 3,928.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.62 : 5,863.98 = 2,617.10 : x
  2. Step 2: Convert to fraction form
    3,906.62/5,863.98 = 2,617.10/x
  3. Step 3: Cross multiply
    3,906.62x = 5,863.98 × 2,617.10
  4. Step 4: Simplify right side
    3,906.62x = 15,346,622.06
  5. Step 5: Solve for x
    x = 15,346,622.06/3,906.62
  6. Step 6: Final answer
    x = 3,928.36

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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.