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Finding the Fourth Proportional to 4,727.69, 6,523.93 and 2,738.11

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Solution

The fourth proportional to 4,727.69, 6,523.93 and 2,738.11 is: 3,778.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,727.69 : 6,523.93 = 2,738.11 : x
  2. Step 2: Convert to fraction form
    4,727.69/6,523.93 = 2,738.11/x
  3. Step 3: Cross multiply
    4,727.69x = 6,523.93 × 2,738.11
  4. Step 4: Simplify right side
    4,727.69x = 17,863,237.97
  5. Step 5: Solve for x
    x = 17,863,237.97/4,727.69
  6. Step 6: Final answer
    x = 3,778.43

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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.