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Finding the Fourth Proportional to 6,422.48, 8,863.84 and 3,628.56

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Solution

The fourth proportional to 6,422.48, 8,863.84 and 3,628.56 is: 5,007.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.48 : 8,863.84 = 3,628.56 : x
  2. Step 2: Convert to fraction form
    6,422.48/8,863.84 = 3,628.56/x
  3. Step 3: Cross multiply
    6,422.48x = 8,863.84 × 3,628.56
  4. Step 4: Simplify right side
    6,422.48x = 32,162,975.27
  5. Step 5: Solve for x
    x = 32,162,975.27/6,422.48
  6. Step 6: Final answer
    x = 5,007.87

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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.