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Finding the Fourth Proportional to 3,311.28, 4,964.28 and 2,268.12

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Solution

The fourth proportional to 3,311.28, 4,964.28 and 2,268.12 is: 3,400.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.28 : 4,964.28 = 2,268.12 : x
  2. Step 2: Convert to fraction form
    3,311.28/4,964.28 = 2,268.12/x
  3. Step 3: Cross multiply
    3,311.28x = 4,964.28 × 2,268.12
  4. Step 4: Simplify right side
    3,311.28x = 11,259,582.75
  5. Step 5: Solve for x
    x = 11,259,582.75/3,311.28
  6. Step 6: Final answer
    x = 3,400.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.