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Finding the Fourth Proportional to 3,786.26, 5,224.82 and 2,214.26

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Solution

The fourth proportional to 3,786.26, 5,224.82 and 2,214.26 is: 3,055.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.26 : 5,224.82 = 2,214.26 : x
  2. Step 2: Convert to fraction form
    3,786.26/5,224.82 = 2,214.26/x
  3. Step 3: Cross multiply
    3,786.26x = 5,224.82 × 2,214.26
  4. Step 4: Simplify right side
    3,786.26x = 11,569,109.93
  5. Step 5: Solve for x
    x = 11,569,109.93/3,786.26
  6. Step 6: Final answer
    x = 3,055.55

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