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Finding the Fourth Proportional to 6,323.82, 8,727.17 and 3,491.60

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Solution

The fourth proportional to 6,323.82, 8,727.17 and 3,491.60 is: 4,818.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.82 : 8,727.17 = 3,491.60 : x
  2. Step 2: Convert to fraction form
    6,323.82/8,727.17 = 3,491.60/x
  3. Step 3: Cross multiply
    6,323.82x = 8,727.17 × 3,491.60
  4. Step 4: Simplify right side
    6,323.82x = 30,471,725.68
  5. Step 5: Solve for x
    x = 30,471,725.68/6,323.82
  6. Step 6: Final answer
    x = 4,818.56

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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.