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Finding the Fourth Proportional to 5,984.57, 8,255.74 and 3,997.79

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Solution

The fourth proportional to 5,984.57, 8,255.74 and 3,997.79 is: 5,514.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.57 : 8,255.74 = 3,997.79 : x
  2. Step 2: Convert to fraction form
    5,984.57/8,255.74 = 3,997.79/x
  3. Step 3: Cross multiply
    5,984.57x = 8,255.74 × 3,997.79
  4. Step 4: Simplify right side
    5,984.57x = 33,004,714.81
  5. Step 5: Solve for x
    x = 33,004,714.81/5,984.57
  6. Step 6: Final answer
    x = 5,514.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.