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Finding the Fourth Proportional to 6,278.48, 8,664.42 and 3,446.13

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Solution

The fourth proportional to 6,278.48, 8,664.42 and 3,446.13 is: 4,755.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.48 : 8,664.42 = 3,446.13 : x
  2. Step 2: Convert to fraction form
    6,278.48/8,664.42 = 3,446.13/x
  3. Step 3: Cross multiply
    6,278.48x = 8,664.42 × 3,446.13
  4. Step 4: Simplify right side
    6,278.48x = 29,858,717.69
  5. Step 5: Solve for x
    x = 29,858,717.69/6,278.48
  6. Step 6: Final answer
    x = 4,755.73

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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.