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Finding the Fourth Proportional to 6,278.81, 8,664.83 and 3,922.32

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Solution

The fourth proportional to 6,278.81, 8,664.83 and 3,922.32 is: 5,412.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.81 : 8,664.83 = 3,922.32 : x
  2. Step 2: Convert to fraction form
    6,278.81/8,664.83 = 3,922.32/x
  3. Step 3: Cross multiply
    6,278.81x = 8,664.83 × 3,922.32
  4. Step 4: Simplify right side
    6,278.81x = 33,986,236.01
  5. Step 5: Solve for x
    x = 33,986,236.01/6,278.81
  6. Step 6: Final answer
    x = 5,412.85

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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.