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Finding the Fourth Proportional to 5,856.72, 8,083.92 and 3,759.84

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Solution

The fourth proportional to 5,856.72, 8,083.92 and 3,759.84 is: 5,189.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.72 : 8,083.92 = 3,759.84 : x
  2. Step 2: Convert to fraction form
    5,856.72/8,083.92 = 3,759.84/x
  3. Step 3: Cross multiply
    5,856.72x = 8,083.92 × 3,759.84
  4. Step 4: Simplify right side
    5,856.72x = 30,394,245.77
  5. Step 5: Solve for x
    x = 30,394,245.77/5,856.72
  6. Step 6: Final answer
    x = 5,189.64

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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.