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Finding the Fourth Proportional to 6,278.74, 8,664.67 and 3,446.36

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Solution

The fourth proportional to 6,278.74, 8,664.67 and 3,446.36 is: 4,755.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.74 : 8,664.67 = 3,446.36 : x
  2. Step 2: Convert to fraction form
    6,278.74/8,664.67 = 3,446.36/x
  3. Step 3: Cross multiply
    6,278.74x = 8,664.67 × 3,446.36
  4. Step 4: Simplify right side
    6,278.74x = 29,861,572.10
  5. Step 5: Solve for x
    x = 29,861,572.10/6,278.74
  6. Step 6: Final answer
    x = 4,755.98

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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.