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Finding the Fourth Proportional to 3,663.16, 5,494.48 and 1,197.94

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Solution

The fourth proportional to 3,663.16, 5,494.48 and 1,197.94 is: 1,796.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.16 : 5,494.48 = 1,197.94 : x
  2. Step 2: Convert to fraction form
    3,663.16/5,494.48 = 1,197.94/x
  3. Step 3: Cross multiply
    3,663.16x = 5,494.48 × 1,197.94
  4. Step 4: Simplify right side
    3,663.16x = 6,582,057.37
  5. Step 5: Solve for x
    x = 6,582,057.37/3,663.16
  6. Step 6: Final answer
    x = 1,796.82

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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.