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Finding the Fourth Proportional to 6,308.61, 8,709.38 and 3,791.34

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Solution

The fourth proportional to 6,308.61, 8,709.38 and 3,791.34 is: 5,234.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.61 : 8,709.38 = 3,791.34 : x
  2. Step 2: Convert to fraction form
    6,308.61/8,709.38 = 3,791.34/x
  3. Step 3: Cross multiply
    6,308.61x = 8,709.38 × 3,791.34
  4. Step 4: Simplify right side
    6,308.61x = 33,020,183.37
  5. Step 5: Solve for x
    x = 33,020,183.37/6,308.61
  6. Step 6: Final answer
    x = 5,234.14

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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.