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Finding the Fourth Proportional to 5,546.44, 7,649.82 and 3,867.88

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Solution

The fourth proportional to 5,546.44, 7,649.82 and 3,867.88 is: 5,334.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,546.44 : 7,649.82 = 3,867.88 : x
  2. Step 2: Convert to fraction form
    5,546.44/7,649.82 = 3,867.88/x
  3. Step 3: Cross multiply
    5,546.44x = 7,649.82 × 3,867.88
  4. Step 4: Simplify right side
    5,546.44x = 29,588,585.78
  5. Step 5: Solve for x
    x = 29,588,585.78/5,546.44
  6. Step 6: Final answer
    x = 5,334.70

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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.