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Finding the Fourth Proportional to 5,941.78, 8,906.26 and 3,863.28

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Solution

The fourth proportional to 5,941.78, 8,906.26 and 3,863.28 is: 5,790.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941.78 : 8,906.26 = 3,863.28 : x
  2. Step 2: Convert to fraction form
    5,941.78/8,906.26 = 3,863.28/x
  3. Step 3: Cross multiply
    5,941.78x = 8,906.26 × 3,863.28
  4. Step 4: Simplify right side
    5,941.78x = 34,407,376.13
  5. Step 5: Solve for x
    x = 34,407,376.13/5,941.78
  6. Step 6: Final answer
    x = 5,790.75

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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.