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Finding the Fourth Proportional to 3,802.43, 5,227.20 and 3,269.35

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Solution

The fourth proportional to 3,802.43, 5,227.20 and 3,269.35 is: 4,494.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.43 : 5,227.20 = 3,269.35 : x
  2. Step 2: Convert to fraction form
    3,802.43/5,227.20 = 3,269.35/x
  3. Step 3: Cross multiply
    3,802.43x = 5,227.20 × 3,269.35
  4. Step 4: Simplify right side
    3,802.43x = 17,089,546.32
  5. Step 5: Solve for x
    x = 17,089,546.32/3,802.43
  6. Step 6: Final answer
    x = 4,494.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.