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Finding the Fourth Proportional to 5,543, 7,649.34 and 3,059

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Solution

The fourth proportional to 5,543, 7,649.34 and 3,059 is: 4,221.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,543 : 7,649.34 = 3,059 : x
  2. Step 2: Convert to fraction form
    5,543/7,649.34 = 3,059/x
  3. Step 3: Cross multiply
    5,543x = 7,649.34 × 3,059
  4. Step 4: Simplify right side
    5,543x = 23,399,331.06
  5. Step 5: Solve for x
    x = 23,399,331.06/5,543
  6. Step 6: Final answer
    x = 4,221.42

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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.