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Finding the Fourth Proportional to 6,954.28, 10,424.22 and 3,489.64

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Solution

The fourth proportional to 6,954.28, 10,424.22 and 3,489.64 is: 5,230.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954.28 : 10,424.22 = 3,489.64 : x
  2. Step 2: Convert to fraction form
    6,954.28/10,424.22 = 3,489.64/x
  3. Step 3: Cross multiply
    6,954.28x = 10,424.22 × 3,489.64
  4. Step 4: Simplify right side
    6,954.28x = 36,376,775.08
  5. Step 5: Solve for x
    x = 36,376,775.08/6,954.28
  6. Step 6: Final answer
    x = 5,230.85

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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.