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Finding the Fourth Proportional to 6,288.67, 8,678.46 and 3,456.30

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Solution

The fourth proportional to 6,288.67, 8,678.46 and 3,456.30 is: 4,769.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288.67 : 8,678.46 = 3,456.30 : x
  2. Step 2: Convert to fraction form
    6,288.67/8,678.46 = 3,456.30/x
  3. Step 3: Cross multiply
    6,288.67x = 8,678.46 × 3,456.30
  4. Step 4: Simplify right side
    6,288.67x = 29,995,361.30
  5. Step 5: Solve for x
    x = 29,995,361.30/6,288.67
  6. Step 6: Final answer
    x = 4,769.75

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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.