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Finding the Fourth Proportional to 6,277.09, 8,662.49 and 3,624.73

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Solution

The fourth proportional to 6,277.09, 8,662.49 and 3,624.73 is: 5,002.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.09 : 8,662.49 = 3,624.73 : x
  2. Step 2: Convert to fraction form
    6,277.09/8,662.49 = 3,624.73/x
  3. Step 3: Cross multiply
    6,277.09x = 8,662.49 × 3,624.73
  4. Step 4: Simplify right side
    6,277.09x = 31,399,187.38
  5. Step 5: Solve for x
    x = 31,399,187.38/6,277.09
  6. Step 6: Final answer
    x = 5,002.19

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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.