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Finding the Fourth Proportional to 6,958.25, 10,431.87 and 3,449.46

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Solution

The fourth proportional to 6,958.25, 10,431.87 and 3,449.46 is: 5,171.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958.25 : 10,431.87 = 3,449.46 : x
  2. Step 2: Convert to fraction form
    6,958.25/10,431.87 = 3,449.46/x
  3. Step 3: Cross multiply
    6,958.25x = 10,431.87 × 3,449.46
  4. Step 4: Simplify right side
    6,958.25x = 35,984,318.29
  5. Step 5: Solve for x
    x = 35,984,318.29/6,958.25
  6. Step 6: Final answer
    x = 5,171.46

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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.