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Finding the Fourth Proportional to 5,493.25, 8,219.22 and 3,853

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Solution

The fourth proportional to 5,493.25, 8,219.22 and 3,853 is: 5,765.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.25 : 8,219.22 = 3,853 : x
  2. Step 2: Convert to fraction form
    5,493.25/8,219.22 = 3,853/x
  3. Step 3: Cross multiply
    5,493.25x = 8,219.22 × 3,853
  4. Step 4: Simplify right side
    5,493.25x = 31,668,654.66
  5. Step 5: Solve for x
    x = 31,668,654.66/5,493.25
  6. Step 6: Final answer
    x = 5,765.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.