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Finding the Fourth Proportional to 4,649.73, 6,976.83 and 2,894.27

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Solution

The fourth proportional to 4,649.73, 6,976.83 and 2,894.27 is: 4,342.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.73 : 6,976.83 = 2,894.27 : x
  2. Step 2: Convert to fraction form
    4,649.73/6,976.83 = 2,894.27/x
  3. Step 3: Cross multiply
    4,649.73x = 6,976.83 × 2,894.27
  4. Step 4: Simplify right side
    4,649.73x = 20,192,840.18
  5. Step 5: Solve for x
    x = 20,192,840.18/4,649.73
  6. Step 6: Final answer
    x = 4,342.80

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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.