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Finding the Fourth Proportional to 3,997.52, 5,996.64 and 2,048.48

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Solution

The fourth proportional to 3,997.52, 5,996.64 and 2,048.48 is: 3,072.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.52 : 5,996.64 = 2,048.48 : x
  2. Step 2: Convert to fraction form
    3,997.52/5,996.64 = 2,048.48/x
  3. Step 3: Cross multiply
    3,997.52x = 5,996.64 × 2,048.48
  4. Step 4: Simplify right side
    3,997.52x = 12,283,997.11
  5. Step 5: Solve for x
    x = 12,283,997.11/3,997.52
  6. Step 6: Final answer
    x = 3,072.90

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1.5x scale

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.