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Finding the Fourth Proportional to 5,677, 7,834.62 and 3,193

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Solution

The fourth proportional to 5,677, 7,834.62 and 3,193 is: 4,406.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677 : 7,834.62 = 3,193 : x
  2. Step 2: Convert to fraction form
    5,677/7,834.62 = 3,193/x
  3. Step 3: Cross multiply
    5,677x = 7,834.62 × 3,193
  4. Step 4: Simplify right side
    5,677x = 25,015,941.66
  5. Step 5: Solve for x
    x = 25,015,941.66/5,677
  6. Step 6: Final answer
    x = 4,406.54

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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.