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Finding the Fourth Proportional to 6,898.27, 9,519.66 and 3,754.49

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Solution

The fourth proportional to 6,898.27, 9,519.66 and 3,754.49 is: 5,181.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.27 : 9,519.66 = 3,754.49 : x
  2. Step 2: Convert to fraction form
    6,898.27/9,519.66 = 3,754.49/x
  3. Step 3: Cross multiply
    6,898.27x = 9,519.66 × 3,754.49
  4. Step 4: Simplify right side
    6,898.27x = 35,741,449.50
  5. Step 5: Solve for x
    x = 35,741,449.50/6,898.27
  6. Step 6: Final answer
    x = 5,181.22

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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.