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Finding the Fourth Proportional to 5,399.25, 8,086.11 and 4,221

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Solution

The fourth proportional to 5,399.25, 8,086.11 and 4,221 is: 6,321.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,399.25 : 8,086.11 = 4,221 : x
  2. Step 2: Convert to fraction form
    5,399.25/8,086.11 = 4,221/x
  3. Step 3: Cross multiply
    5,399.25x = 8,086.11 × 4,221
  4. Step 4: Simplify right side
    5,399.25x = 34,131,470.31
  5. Step 5: Solve for x
    x = 34,131,470.31/5,399.25
  6. Step 6: Final answer
    x = 6,321.52

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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.