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Finding the Fourth Proportional to 3,470.92, 5,212.53 and 3,327.41

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Solution

The fourth proportional to 3,470.92, 5,212.53 and 3,327.41 is: 4,997.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.92 : 5,212.53 = 3,327.41 : x
  2. Step 2: Convert to fraction form
    3,470.92/5,212.53 = 3,327.41/x
  3. Step 3: Cross multiply
    3,470.92x = 5,212.53 × 3,327.41
  4. Step 4: Simplify right side
    3,470.92x = 17,344,237.48
  5. Step 5: Solve for x
    x = 17,344,237.48/3,470.92
  6. Step 6: Final answer
    x = 4,997.02

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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.