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Finding the Fourth Proportional to 4,994.92, 6,889.80 and 3,227.86

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Solution

The fourth proportional to 4,994.92, 6,889.80 and 3,227.86 is: 4,452.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,994.92 : 6,889.80 = 3,227.86 : x
  2. Step 2: Convert to fraction form
    4,994.92/6,889.80 = 3,227.86/x
  3. Step 3: Cross multiply
    4,994.92x = 6,889.80 × 3,227.86
  4. Step 4: Simplify right side
    4,994.92x = 22,239,309.83
  5. Step 5: Solve for x
    x = 22,239,309.83/4,994.92
  6. Step 6: Final answer
    x = 4,452.39

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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.