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Finding the Fourth Proportional to 3,817.25, 5,267.69 and 2,224.25

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Solution

The fourth proportional to 3,817.25, 5,267.69 and 2,224.25 is: 3,069.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.25 : 5,267.69 = 2,224.25 : x
  2. Step 2: Convert to fraction form
    3,817.25/5,267.69 = 2,224.25/x
  3. Step 3: Cross multiply
    3,817.25x = 5,267.69 × 2,224.25
  4. Step 4: Simplify right side
    3,817.25x = 11,716,630.36
  5. Step 5: Solve for x
    x = 11,716,630.36/3,817.25
  6. Step 6: Final answer
    x = 3,069.39

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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.