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Finding the Fourth Proportional to 4,965.91, 6,853.08 and 2,728

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Solution

The fourth proportional to 4,965.91, 6,853.08 and 2,728 is: 3,764.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.91 : 6,853.08 = 2,728 : x
  2. Step 2: Convert to fraction form
    4,965.91/6,853.08 = 2,728/x
  3. Step 3: Cross multiply
    4,965.91x = 6,853.08 × 2,728
  4. Step 4: Simplify right side
    4,965.91x = 18,695,202.24
  5. Step 5: Solve for x
    x = 18,695,202.24/4,965.91
  6. Step 6: Final answer
    x = 3,764.71

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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.