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Finding the Fourth Proportional to 5,849.28, 8,763.84 and 4,197.96

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Solution

The fourth proportional to 5,849.28, 8,763.84 and 4,197.96 is: 6,289.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.28 : 8,763.84 = 4,197.96 : x
  2. Step 2: Convert to fraction form
    5,849.28/8,763.84 = 4,197.96/x
  3. Step 3: Cross multiply
    5,849.28x = 8,763.84 × 4,197.96
  4. Step 4: Simplify right side
    5,849.28x = 36,790,249.77
  5. Step 5: Solve for x
    x = 36,790,249.77/5,849.28
  6. Step 6: Final answer
    x = 6,289.71

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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.