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Finding the Fourth Proportional to 6,025.92, 8,314.82 and 3,668.82

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Solution

The fourth proportional to 6,025.92, 8,314.82 and 3,668.82 is: 5,062.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,025.92 : 8,314.82 = 3,668.82 : x
  2. Step 2: Convert to fraction form
    6,025.92/8,314.82 = 3,668.82/x
  3. Step 3: Cross multiply
    6,025.92x = 8,314.82 × 3,668.82
  4. Step 4: Simplify right side
    6,025.92x = 30,505,577.91
  5. Step 5: Solve for x
    x = 30,505,577.91/6,025.92
  6. Step 6: Final answer
    x = 5,062.39

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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.