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Finding the Fourth Proportional to 4,627.92, 6,382.31 and 3,958.26

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Solution

The fourth proportional to 4,627.92, 6,382.31 and 3,958.26 is: 5,458.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,627.92 : 6,382.31 = 3,958.26 : x
  2. Step 2: Convert to fraction form
    4,627.92/6,382.31 = 3,958.26/x
  3. Step 3: Cross multiply
    4,627.92x = 6,382.31 × 3,958.26
  4. Step 4: Simplify right side
    4,627.92x = 25,262,842.38
  5. Step 5: Solve for x
    x = 25,262,842.38/4,627.92
  6. Step 6: Final answer
    x = 5,458.79

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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.