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Finding the Fourth Proportional to 5,493.84, 8,242.56 and 1,796.20

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Solution

The fourth proportional to 5,493.84, 8,242.56 and 1,796.20 is: 2,694.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.84 : 8,242.56 = 1,796.20 : x
  2. Step 2: Convert to fraction form
    5,493.84/8,242.56 = 1,796.20/x
  3. Step 3: Cross multiply
    5,493.84x = 8,242.56 × 1,796.20
  4. Step 4: Simplify right side
    5,493.84x = 14,805,286.27
  5. Step 5: Solve for x
    x = 14,805,286.27/5,493.84
  6. Step 6: Final answer
    x = 2,694.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.