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Finding the Fourth Proportional to 6,504.80, 8,976.65 and 3,672.29

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Solution

The fourth proportional to 6,504.80, 8,976.65 and 3,672.29 is: 5,067.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.80 : 8,976.65 = 3,672.29 : x
  2. Step 2: Convert to fraction form
    6,504.80/8,976.65 = 3,672.29/x
  3. Step 3: Cross multiply
    6,504.80x = 8,976.65 × 3,672.29
  4. Step 4: Simplify right side
    6,504.80x = 32,964,866.11
  5. Step 5: Solve for x
    x = 32,964,866.11/6,504.80
  6. Step 6: Final answer
    x = 5,067.78

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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.