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Finding the Fourth Proportional to 3,716.22, 5,128.25 and 2,224.97

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Solution

The fourth proportional to 3,716.22, 5,128.25 and 2,224.97 is: 3,070.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.22 : 5,128.25 = 2,224.97 : x
  2. Step 2: Convert to fraction form
    3,716.22/5,128.25 = 2,224.97/x
  3. Step 3: Cross multiply
    3,716.22x = 5,128.25 × 2,224.97
  4. Step 4: Simplify right side
    3,716.22x = 11,410,202.40
  5. Step 5: Solve for x
    x = 11,410,202.40/3,716.22
  6. Step 6: Final answer
    x = 3,070.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.