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Finding the Fourth Proportional to 3,663.67, 5,494.26 and 1,197.88

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Solution

The fourth proportional to 3,663.67, 5,494.26 and 1,197.88 is: 1,796.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.67 : 5,494.26 = 1,197.88 : x
  2. Step 2: Convert to fraction form
    3,663.67/5,494.26 = 1,197.88/x
  3. Step 3: Cross multiply
    3,663.67x = 5,494.26 × 1,197.88
  4. Step 4: Simplify right side
    3,663.67x = 6,581,464.17
  5. Step 5: Solve for x
    x = 6,581,464.17/3,663.67
  6. Step 6: Final answer
    x = 1,796.41

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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.