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Finding the Fourth Proportional to 5,677.88, 7,835.49 and 3,193.88

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Solution

The fourth proportional to 5,677.88, 7,835.49 and 3,193.88 is: 4,407.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.88 : 7,835.49 = 3,193.88 : x
  2. Step 2: Convert to fraction form
    5,677.88/7,835.49 = 3,193.88/x
  3. Step 3: Cross multiply
    5,677.88x = 7,835.49 × 3,193.88
  4. Step 4: Simplify right side
    5,677.88x = 25,025,575.62
  5. Step 5: Solve for x
    x = 25,025,575.62/5,677.88
  6. Step 6: Final answer
    x = 4,407.56

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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.