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Finding the Fourth Proportional to 5,912.82, 8,149.83 and 5,074.38

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Solution

The fourth proportional to 5,912.82, 8,149.83 and 5,074.38 is: 6,994.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,912.82 : 8,149.83 = 5,074.38 : x
  2. Step 2: Convert to fraction form
    5,912.82/8,149.83 = 5,074.38/x
  3. Step 3: Cross multiply
    5,912.82x = 8,149.83 × 5,074.38
  4. Step 4: Simplify right side
    5,912.82x = 41,355,334.36
  5. Step 5: Solve for x
    x = 41,355,334.36/5,912.82
  6. Step 6: Final answer
    x = 6,994.18

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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.