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Finding the Fourth Proportional to 5,649.75, 8,469 and 2,726.46

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Solution

The fourth proportional to 5,649.75, 8,469 and 2,726.46 is: 4,086.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.75 : 8,469 = 2,726.46 : x
  2. Step 2: Convert to fraction form
    5,649.75/8,469 = 2,726.46/x
  3. Step 3: Cross multiply
    5,649.75x = 8,469 × 2,726.46
  4. Step 4: Simplify right side
    5,649.75x = 23,090,389.74
  5. Step 5: Solve for x
    x = 23,090,389.74/5,649.75
  6. Step 6: Final answer
    x = 4,086.98

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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.