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Finding the Fourth Proportional to 4,199.44, 6,279.90 and 3,092.20

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Solution

The fourth proportional to 4,199.44, 6,279.90 and 3,092.20 is: 4,624.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.44 : 6,279.90 = 3,092.20 : x
  2. Step 2: Convert to fraction form
    4,199.44/6,279.90 = 3,092.20/x
  3. Step 3: Cross multiply
    4,199.44x = 6,279.90 × 3,092.20
  4. Step 4: Simplify right side
    4,199.44x = 19,418,706.78
  5. Step 5: Solve for x
    x = 19,418,706.78/4,199.44
  6. Step 6: Final answer
    x = 4,624.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.