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Finding the Fourth Proportional to 4,651.92, 6,977.94 and 3,267.44

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Solution

The fourth proportional to 4,651.92, 6,977.94 and 3,267.44 is: 4,901.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.92 : 6,977.94 = 3,267.44 : x
  2. Step 2: Convert to fraction form
    4,651.92/6,977.94 = 3,267.44/x
  3. Step 3: Cross multiply
    4,651.92x = 6,977.94 × 3,267.44
  4. Step 4: Simplify right side
    4,651.92x = 22,800,000.27
  5. Step 5: Solve for x
    x = 22,800,000.27/4,651.92
  6. Step 6: Final answer
    x = 4,901.20

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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.