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Finding the Fourth Proportional to 3,946.21, 5,918.46 and 1,481.20

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Solution

The fourth proportional to 3,946.21, 5,918.46 and 1,481.20 is: 2,221.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.21 : 5,918.46 = 1,481.20 : x
  2. Step 2: Convert to fraction form
    3,946.21/5,918.46 = 1,481.20/x
  3. Step 3: Cross multiply
    3,946.21x = 5,918.46 × 1,481.20
  4. Step 4: Simplify right side
    3,946.21x = 8,766,422.95
  5. Step 5: Solve for x
    x = 8,766,422.95/3,946.21
  6. Step 6: Final answer
    x = 2,221.48

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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.