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Finding the Fourth Proportional to 5,276.81, 7,917.97 and 3,827.92

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Solution

The fourth proportional to 5,276.81, 7,917.97 and 3,827.92 is: 5,743.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,276.81 : 7,917.97 = 3,827.92 : x
  2. Step 2: Convert to fraction form
    5,276.81/7,917.97 = 3,827.92/x
  3. Step 3: Cross multiply
    5,276.81x = 7,917.97 × 3,827.92
  4. Step 4: Simplify right side
    5,276.81x = 30,309,355.72
  5. Step 5: Solve for x
    x = 30,309,355.72/5,276.81
  6. Step 6: Final answer
    x = 5,743.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.