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Finding the Fourth Proportional to 5,894.96, 8,843.02 and 2,147.76

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Solution

The fourth proportional to 5,894.96, 8,843.02 and 2,147.76 is: 3,221.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.96 : 8,843.02 = 2,147.76 : x
  2. Step 2: Convert to fraction form
    5,894.96/8,843.02 = 2,147.76/x
  3. Step 3: Cross multiply
    5,894.96x = 8,843.02 × 2,147.76
  4. Step 4: Simplify right side
    5,894.96x = 18,992,679.27
  5. Step 5: Solve for x
    x = 18,992,679.27/5,894.96
  6. Step 6: Final answer
    x = 3,221.85

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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.