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Finding the Fourth Proportional to 5,789.68, 7,984.24 and 3,801.92

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Solution

The fourth proportional to 5,789.68, 7,984.24 and 3,801.92 is: 5,243.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.68 : 7,984.24 = 3,801.92 : x
  2. Step 2: Convert to fraction form
    5,789.68/7,984.24 = 3,801.92/x
  3. Step 3: Cross multiply
    5,789.68x = 7,984.24 × 3,801.92
  4. Step 4: Simplify right side
    5,789.68x = 30,355,441.74
  5. Step 5: Solve for x
    x = 30,355,441.74/5,789.68
  6. Step 6: Final answer
    x = 5,243.03

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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.