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Finding the Fourth Proportional to 5,523.48, 8,286.84 and 2,061

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Solution

The fourth proportional to 5,523.48, 8,286.84 and 2,061 is: 3,092.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,523.48 : 8,286.84 = 2,061 : x
  2. Step 2: Convert to fraction form
    5,523.48/8,286.84 = 2,061/x
  3. Step 3: Cross multiply
    5,523.48x = 8,286.84 × 2,061
  4. Step 4: Simplify right side
    5,523.48x = 17,079,177.24
  5. Step 5: Solve for x
    x = 17,079,177.24/5,523.48
  6. Step 6: Final answer
    x = 3,092.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.