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Finding the Fourth Proportional to 4,057.41, 6,086.12 and 979.41

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Solution

The fourth proportional to 4,057.41, 6,086.12 and 979.41 is: 1,469.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.41 : 6,086.12 = 979.41 : x
  2. Step 2: Convert to fraction form
    4,057.41/6,086.12 = 979.41/x
  3. Step 3: Cross multiply
    4,057.41x = 6,086.12 × 979.41
  4. Step 4: Simplify right side
    4,057.41x = 5,960,806.79
  5. Step 5: Solve for x
    x = 5,960,806.79/4,057.41
  6. Step 6: Final answer
    x = 1,469.12

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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.