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Finding the Fourth Proportional to 6,234.91, 8,605.96 and 3,685.03

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Solution

The fourth proportional to 6,234.91, 8,605.96 and 3,685.03 is: 5,086.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.91 : 8,605.96 = 3,685.03 : x
  2. Step 2: Convert to fraction form
    6,234.91/8,605.96 = 3,685.03/x
  3. Step 3: Cross multiply
    6,234.91x = 8,605.96 × 3,685.03
  4. Step 4: Simplify right side
    6,234.91x = 31,713,177.75
  5. Step 5: Solve for x
    x = 31,713,177.75/6,234.91
  6. Step 6: Final answer
    x = 5,086.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.