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Finding the Fourth Proportional to 5,231.46, 7,846.14 and 2,268.12

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Solution

The fourth proportional to 5,231.46, 7,846.14 and 2,268.12 is: 3,401.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,231.46 : 7,846.14 = 2,268.12 : x
  2. Step 2: Convert to fraction form
    5,231.46/7,846.14 = 2,268.12/x
  3. Step 3: Cross multiply
    5,231.46x = 7,846.14 × 2,268.12
  4. Step 4: Simplify right side
    5,231.46x = 17,795,987.06
  5. Step 5: Solve for x
    x = 17,795,987.06/5,231.46
  6. Step 6: Final answer
    x = 3,401.72

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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.