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Finding the Fourth Proportional to 3,993.26, 5,980.74 and 1,914.71

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Solution

The fourth proportional to 3,993.26, 5,980.74 and 1,914.71 is: 2,867.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.26 : 5,980.74 = 1,914.71 : x
  2. Step 2: Convert to fraction form
    3,993.26/5,980.74 = 1,914.71/x
  3. Step 3: Cross multiply
    3,993.26x = 5,980.74 × 1,914.71
  4. Step 4: Simplify right side
    3,993.26x = 11,451,352.78
  5. Step 5: Solve for x
    x = 11,451,352.78/3,993.26
  6. Step 6: Final answer
    x = 2,867.67

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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.