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Finding the Fourth Proportional to 6,481.70, 8,944.92 and 3,649.18

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Solution

The fourth proportional to 6,481.70, 8,944.92 and 3,649.18 is: 5,035.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.70 : 8,944.92 = 3,649.18 : x
  2. Step 2: Convert to fraction form
    6,481.70/8,944.92 = 3,649.18/x
  3. Step 3: Cross multiply
    6,481.70x = 8,944.92 × 3,649.18
  4. Step 4: Simplify right side
    6,481.70x = 32,641,623.17
  5. Step 5: Solve for x
    x = 32,641,623.17/6,481.70
  6. Step 6: Final answer
    x = 5,035.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.