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Finding the Fourth Proportional to 3,225.28, 4,838.64 and 2,251.84

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Solution

The fourth proportional to 3,225.28, 4,838.64 and 2,251.84 is: 3,378.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.28 : 4,838.64 = 2,251.84 : x
  2. Step 2: Convert to fraction form
    3,225.28/4,838.64 = 2,251.84/x
  3. Step 3: Cross multiply
    3,225.28x = 4,838.64 × 2,251.84
  4. Step 4: Simplify right side
    3,225.28x = 10,895,843.10
  5. Step 5: Solve for x
    x = 10,895,843.10/3,225.28
  6. Step 6: Final answer
    x = 3,378.26

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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.