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Finding the Fourth Proportional to 4,983.92, 7,478.16 and 2,517.44

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Solution

The fourth proportional to 4,983.92, 7,478.16 and 2,517.44 is: 3,777.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,983.92 : 7,478.16 = 2,517.44 : x
  2. Step 2: Convert to fraction form
    4,983.92/7,478.16 = 2,517.44/x
  3. Step 3: Cross multiply
    4,983.92x = 7,478.16 × 2,517.44
  4. Step 4: Simplify right side
    4,983.92x = 18,825,819.11
  5. Step 5: Solve for x
    x = 18,825,819.11/4,983.92
  6. Step 6: Final answer
    x = 3,777.31

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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.