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Finding the Fourth Proportional to 6,481.82, 8,946.38 and 5,231.18

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Solution

The fourth proportional to 6,481.82, 8,946.38 and 5,231.18 is: 7,220.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.82 : 8,946.38 = 5,231.18 : x
  2. Step 2: Convert to fraction form
    6,481.82/8,946.38 = 5,231.18/x
  3. Step 3: Cross multiply
    6,481.82x = 8,946.38 × 5,231.18
  4. Step 4: Simplify right side
    6,481.82x = 46,800,124.13
  5. Step 5: Solve for x
    x = 46,800,124.13/6,481.82
  6. Step 6: Final answer
    x = 7,220.21

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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.