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Finding the Fourth Proportional to 3,847.14, 5,309 and 2,168.70

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Solution

The fourth proportional to 3,847.14, 5,309 and 2,168.70 is: 2,992.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.14 : 5,309 = 2,168.70 : x
  2. Step 2: Convert to fraction form
    3,847.14/5,309 = 2,168.70/x
  3. Step 3: Cross multiply
    3,847.14x = 5,309 × 2,168.70
  4. Step 4: Simplify right side
    3,847.14x = 11,513,628.30
  5. Step 5: Solve for x
    x = 11,513,628.30/3,847.14
  6. Step 6: Final answer
    x = 2,992.78

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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.