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Finding the Fourth Proportional to 4,641.27, 6,944.43 and 3,257.31

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Solution

The fourth proportional to 4,641.27, 6,944.43 and 3,257.31 is: 4,873.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.27 : 6,944.43 = 3,257.31 : x
  2. Step 2: Convert to fraction form
    4,641.27/6,944.43 = 3,257.31/x
  3. Step 3: Cross multiply
    4,641.27x = 6,944.43 × 3,257.31
  4. Step 4: Simplify right side
    4,641.27x = 22,620,199.54
  5. Step 5: Solve for x
    x = 22,620,199.54/4,641.27
  6. Step 6: Final answer
    x = 4,873.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.