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Finding the Fourth Proportional to 5,649.30, 7,795.82 and 3,131.52

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Solution

The fourth proportional to 5,649.30, 7,795.82 and 3,131.52 is: 4,321.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.30 : 7,795.82 = 3,131.52 : x
  2. Step 2: Convert to fraction form
    5,649.30/7,795.82 = 3,131.52/x
  3. Step 3: Cross multiply
    5,649.30x = 7,795.82 × 3,131.52
  4. Step 4: Simplify right side
    5,649.30x = 24,412,766.25
  5. Step 5: Solve for x
    x = 24,412,766.25/5,649.30
  6. Step 6: Final answer
    x = 4,321.38

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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.