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Finding the Fourth Proportional to 4,912.64, 7,360.75 and 3,449.17

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Solution

The fourth proportional to 4,912.64, 7,360.75 and 3,449.17 is: 5,167.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,912.64 : 7,360.75 = 3,449.17 : x
  2. Step 2: Convert to fraction form
    4,912.64/7,360.75 = 3,449.17/x
  3. Step 3: Cross multiply
    4,912.64x = 7,360.75 × 3,449.17
  4. Step 4: Simplify right side
    4,912.64x = 25,388,478.08
  5. Step 5: Solve for x
    x = 25,388,478.08/4,912.64
  6. Step 6: Final answer
    x = 5,167.99

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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.