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Finding the Fourth Proportional to 5,976.26, 8,964.86 and 1,816.63

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Solution

The fourth proportional to 5,976.26, 8,964.86 and 1,816.63 is: 2,725.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.26 : 8,964.86 = 1,816.63 : x
  2. Step 2: Convert to fraction form
    5,976.26/8,964.86 = 1,816.63/x
  3. Step 3: Cross multiply
    5,976.26x = 8,964.86 × 1,816.63
  4. Step 4: Simplify right side
    5,976.26x = 16,285,833.62
  5. Step 5: Solve for x
    x = 16,285,833.62/5,976.26
  6. Step 6: Final answer
    x = 2,725.09

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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.