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Finding the Fourth Proportional to 3,663.39, 5,495.66 and 1,197.64

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Solution

The fourth proportional to 3,663.39, 5,495.66 and 1,197.64 is: 1,796.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.39 : 5,495.66 = 1,197.64 : x
  2. Step 2: Convert to fraction form
    3,663.39/5,495.66 = 1,197.64/x
  3. Step 3: Cross multiply
    3,663.39x = 5,495.66 × 1,197.64
  4. Step 4: Simplify right side
    3,663.39x = 6,581,822.24
  5. Step 5: Solve for x
    x = 6,581,822.24/3,663.39
  6. Step 6: Final answer
    x = 1,796.65

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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.