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Finding the Fourth Proportional to 5,687.76, 8,522.33 and 5,471.76

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Solution

The fourth proportional to 5,687.76, 8,522.33 and 5,471.76 is: 8,198.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.76 : 8,522.33 = 5,471.76 : x
  2. Step 2: Convert to fraction form
    5,687.76/8,522.33 = 5,471.76/x
  3. Step 3: Cross multiply
    5,687.76x = 8,522.33 × 5,471.76
  4. Step 4: Simplify right side
    5,687.76x = 46,632,179.78
  5. Step 5: Solve for x
    x = 46,632,179.78/5,687.76
  6. Step 6: Final answer
    x = 8,198.68

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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.