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Finding the Fourth Proportional to 4,965.89, 6,853.17 and 2,727.74

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Solution

The fourth proportional to 4,965.89, 6,853.17 and 2,727.74 is: 3,764.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.89 : 6,853.17 = 2,727.74 : x
  2. Step 2: Convert to fraction form
    4,965.89/6,853.17 = 2,727.74/x
  3. Step 3: Cross multiply
    4,965.89x = 6,853.17 × 2,727.74
  4. Step 4: Simplify right side
    4,965.89x = 18,693,665.94
  5. Step 5: Solve for x
    x = 18,693,665.94/4,965.89
  6. Step 6: Final answer
    x = 3,764.41

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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.