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Finding the Fourth Proportional to 5,494.22, 8,241.83 and 1,796.47

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Solution

The fourth proportional to 5,494.22, 8,241.83 and 1,796.47 is: 2,694.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.22 : 8,241.83 = 1,796.47 : x
  2. Step 2: Convert to fraction form
    5,494.22/8,241.83 = 1,796.47/x
  3. Step 3: Cross multiply
    5,494.22x = 8,241.83 × 1,796.47
  4. Step 4: Simplify right side
    5,494.22x = 14,806,200.34
  5. Step 5: Solve for x
    x = 14,806,200.34/5,494.22
  6. Step 6: Final answer
    x = 2,694.87

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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.