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Finding the Fourth Proportional to 3,226.96, 4,453.28 and 2,284.44

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Solution

The fourth proportional to 3,226.96, 4,453.28 and 2,284.44 is: 3,152.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226.96 : 4,453.28 = 2,284.44 : x
  2. Step 2: Convert to fraction form
    3,226.96/4,453.28 = 2,284.44/x
  3. Step 3: Cross multiply
    3,226.96x = 4,453.28 × 2,284.44
  4. Step 4: Simplify right side
    3,226.96x = 10,173,250.96
  5. Step 5: Solve for x
    x = 10,173,250.96/3,226.96
  6. Step 6: Final answer
    x = 3,152.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.