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Finding the Fourth Proportional to 3,662.35, 5,493.90 and 1,197.36

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Solution

The fourth proportional to 3,662.35, 5,493.90 and 1,197.36 is: 1,796.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.35 : 5,493.90 = 1,197.36 : x
  2. Step 2: Convert to fraction form
    3,662.35/5,493.90 = 1,197.36/x
  3. Step 3: Cross multiply
    3,662.35x = 5,493.90 × 1,197.36
  4. Step 4: Simplify right side
    3,662.35x = 6,578,176.10
  5. Step 5: Solve for x
    x = 6,578,176.10/3,662.35
  6. Step 6: Final answer
    x = 1,796.16

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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.