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Finding the Fourth Proportional to 3,891.40, 5,836.99 and 969.67

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Solution

The fourth proportional to 3,891.40, 5,836.99 and 969.67 is: 1,454.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.40 : 5,836.99 = 969.67 : x
  2. Step 2: Convert to fraction form
    3,891.40/5,836.99 = 969.67/x
  3. Step 3: Cross multiply
    3,891.40x = 5,836.99 × 969.67
  4. Step 4: Simplify right side
    3,891.40x = 5,659,954.09
  5. Step 5: Solve for x
    x = 5,659,954.09/3,891.40
  6. Step 6: Final answer
    x = 1,454.48

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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.