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Finding the Fourth Proportional to 5,523.86, 8,286.03 and 1,826.42

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Solution

The fourth proportional to 5,523.86, 8,286.03 and 1,826.42 is: 2,739.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,523.86 : 8,286.03 = 1,826.42 : x
  2. Step 2: Convert to fraction form
    5,523.86/8,286.03 = 1,826.42/x
  3. Step 3: Cross multiply
    5,523.86x = 8,286.03 × 1,826.42
  4. Step 4: Simplify right side
    5,523.86x = 15,133,729.48
  5. Step 5: Solve for x
    x = 15,133,729.48/5,523.86
  6. Step 6: Final answer
    x = 2,739.70

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Why These Related Problems?

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