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Finding the Fourth Proportional to 3,946.48, 5,919.48 and 1,481.09

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Solution

The fourth proportional to 3,946.48, 5,919.48 and 1,481.09 is: 2,221.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.48 : 5,919.48 = 1,481.09 : x
  2. Step 2: Convert to fraction form
    3,946.48/5,919.48 = 1,481.09/x
  3. Step 3: Cross multiply
    3,946.48x = 5,919.48 × 1,481.09
  4. Step 4: Simplify right side
    3,946.48x = 8,767,253.04
  5. Step 5: Solve for x
    x = 8,767,253.04/3,946.48
  6. Step 6: Final answer
    x = 2,221.54

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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.