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Finding the Fourth Proportional to 5,918.40, 8,166.96 and 3,229.44

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Solution

The fourth proportional to 5,918.40, 8,166.96 and 3,229.44 is: 4,456.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,918.40 : 8,166.96 = 3,229.44 : x
  2. Step 2: Convert to fraction form
    5,918.40/8,166.96 = 3,229.44/x
  3. Step 3: Cross multiply
    5,918.40x = 8,166.96 × 3,229.44
  4. Step 4: Simplify right side
    5,918.40x = 26,374,707.30
  5. Step 5: Solve for x
    x = 26,374,707.30/5,918.40
  6. Step 6: Final answer
    x = 4,456.39

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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.