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Finding the Fourth Proportional to 5,944.88, 8,204.06 and 3,256.21

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Solution

The fourth proportional to 5,944.88, 8,204.06 and 3,256.21 is: 4,493.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,944.88 : 8,204.06 = 3,256.21 : x
  2. Step 2: Convert to fraction form
    5,944.88/8,204.06 = 3,256.21/x
  3. Step 3: Cross multiply
    5,944.88x = 8,204.06 × 3,256.21
  4. Step 4: Simplify right side
    5,944.88x = 26,714,142.21
  5. Step 5: Solve for x
    x = 26,714,142.21/5,944.88
  6. Step 6: Final answer
    x = 4,493.64

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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.