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Finding the Fourth Proportional to 3,662.40, 5,493.03 and 1,197.21

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Solution

The fourth proportional to 3,662.40, 5,493.03 and 1,197.21 is: 1,795.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.40 : 5,493.03 = 1,197.21 : x
  2. Step 2: Convert to fraction form
    3,662.40/5,493.03 = 1,197.21/x
  3. Step 3: Cross multiply
    3,662.40x = 5,493.03 × 1,197.21
  4. Step 4: Simplify right side
    3,662.40x = 6,576,310.45
  5. Step 5: Solve for x
    x = 6,576,310.45/3,662.40
  6. Step 6: Final answer
    x = 1,795.63

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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.