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Finding the Fourth Proportional to 3,996, 5,996.16 and 1,944

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Solution

The fourth proportional to 3,996, 5,996.16 and 1,944 is: 2,917.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,996 : 5,996.16 = 1,944 : x
  2. Step 2: Convert to fraction form
    3,996/5,996.16 = 1,944/x
  3. Step 3: Cross multiply
    3,996x = 5,996.16 × 1,944
  4. Step 4: Simplify right side
    3,996x = 11,656,535.04
  5. Step 5: Solve for x
    x = 11,656,535.04/3,996
  6. Step 6: Final answer
    x = 2,917.05

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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.