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Finding the Fourth Proportional to 5,494.64, 8,241.69 and 1,796.38

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Solution

The fourth proportional to 5,494.64, 8,241.69 and 1,796.38 is: 2,694.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.64 : 8,241.69 = 1,796.38 : x
  2. Step 2: Convert to fraction form
    5,494.64/8,241.69 = 1,796.38/x
  3. Step 3: Cross multiply
    5,494.64x = 8,241.69 × 1,796.38
  4. Step 4: Simplify right side
    5,494.64x = 14,805,193.21
  5. Step 5: Solve for x
    x = 14,805,193.21/5,494.64
  6. Step 6: Final answer
    x = 2,694.48

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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.