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Finding the Fourth Proportional to 4,199.12, 6,299.02 and 1,425.80

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Solution

The fourth proportional to 4,199.12, 6,299.02 and 1,425.80 is: 2,138.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.12 : 6,299.02 = 1,425.80 : x
  2. Step 2: Convert to fraction form
    4,199.12/6,299.02 = 1,425.80/x
  3. Step 3: Cross multiply
    4,199.12x = 6,299.02 × 1,425.80
  4. Step 4: Simplify right side
    4,199.12x = 8,981,142.72
  5. Step 5: Solve for x
    x = 8,981,142.72/4,199.12
  6. Step 6: Final answer
    x = 2,138.82

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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.