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Finding the Fourth Proportional to 3,327.78, 4,991.91 and 862.62

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Solution

The fourth proportional to 3,327.78, 4,991.91 and 862.62 is: 1,293.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,327.78 : 4,991.91 = 862.62 : x
  2. Step 2: Convert to fraction form
    3,327.78/4,991.91 = 862.62/x
  3. Step 3: Cross multiply
    3,327.78x = 4,991.91 × 862.62
  4. Step 4: Simplify right side
    3,327.78x = 4,306,121.40
  5. Step 5: Solve for x
    x = 4,306,121.40/3,327.78
  6. Step 6: Final answer
    x = 1,293.99

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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.