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Finding the Fourth Proportional to 4,977.92, 7,470.18 and 2,757.68

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Solution

The fourth proportional to 4,977.92, 7,470.18 and 2,757.68 is: 4,138.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.92 : 7,470.18 = 2,757.68 : x
  2. Step 2: Convert to fraction form
    4,977.92/7,470.18 = 2,757.68/x
  3. Step 3: Cross multiply
    4,977.92x = 7,470.18 × 2,757.68
  4. Step 4: Simplify right side
    4,977.92x = 20,600,365.98
  5. Step 5: Solve for x
    x = 20,600,365.98/4,977.92
  6. Step 6: Final answer
    x = 4,138.35

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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.