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Finding the Fourth Proportional to 6,299.46, 8,694.22 and 3,782.96

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Solution

The fourth proportional to 6,299.46, 8,694.22 and 3,782.96 is: 5,221.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.46 : 8,694.22 = 3,782.96 : x
  2. Step 2: Convert to fraction form
    6,299.46/8,694.22 = 3,782.96/x
  3. Step 3: Cross multiply
    6,299.46x = 8,694.22 × 3,782.96
  4. Step 4: Simplify right side
    6,299.46x = 32,889,875.37
  5. Step 5: Solve for x
    x = 32,889,875.37/6,299.46
  6. Step 6: Final answer
    x = 5,221.06

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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.