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Finding the Fourth Proportional to 4,057.71, 6,081.24 and 2,081.67

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Solution

The fourth proportional to 4,057.71, 6,081.24 and 2,081.67 is: 3,119.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.71 : 6,081.24 = 2,081.67 : x
  2. Step 2: Convert to fraction form
    4,057.71/6,081.24 = 2,081.67/x
  3. Step 3: Cross multiply
    4,057.71x = 6,081.24 × 2,081.67
  4. Step 4: Simplify right side
    4,057.71x = 12,659,119.87
  5. Step 5: Solve for x
    x = 12,659,119.87/4,057.71
  6. Step 6: Final answer
    x = 3,119.77

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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.