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Finding the Fourth Proportional to 3,961.44, 5,467.32 and 2,282.76

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Solution

The fourth proportional to 3,961.44, 5,467.32 and 2,282.76 is: 3,150.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,961.44 : 5,467.32 = 2,282.76 : x
  2. Step 2: Convert to fraction form
    3,961.44/5,467.32 = 2,282.76/x
  3. Step 3: Cross multiply
    3,961.44x = 5,467.32 × 2,282.76
  4. Step 4: Simplify right side
    3,961.44x = 12,480,579.40
  5. Step 5: Solve for x
    x = 12,480,579.40/3,961.44
  6. Step 6: Final answer
    x = 3,150.52

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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.