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Finding the Fourth Proportional to 5,074.12, 6,993.92 and 3,394.92

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Solution

The fourth proportional to 5,074.12, 6,993.92 and 3,394.92 is: 4,679.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,074.12 : 6,993.92 = 3,394.92 : x
  2. Step 2: Convert to fraction form
    5,074.12/6,993.92 = 3,394.92/x
  3. Step 3: Cross multiply
    5,074.12x = 6,993.92 × 3,394.92
  4. Step 4: Simplify right side
    5,074.12x = 23,743,781.91
  5. Step 5: Solve for x
    x = 23,743,781.91/5,074.12
  6. Step 6: Final answer
    x = 4,679.39

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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.