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Finding the Fourth Proportional to 3,996.52, 5,997.66 and 2,264.68

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Solution

The fourth proportional to 3,996.52, 5,997.66 and 2,264.68 is: 3,398.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,996.52 : 5,997.66 = 2,264.68 : x
  2. Step 2: Convert to fraction form
    3,996.52/5,997.66 = 2,264.68/x
  3. Step 3: Cross multiply
    3,996.52x = 5,997.66 × 2,264.68
  4. Step 4: Simplify right side
    3,996.52x = 13,582,780.65
  5. Step 5: Solve for x
    x = 13,582,780.65/3,996.52
  6. Step 6: Final answer
    x = 3,398.65

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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.