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Finding the Fourth Proportional to 3,654.60, 5,481.90 and 1,191.20

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Solution

The fourth proportional to 3,654.60, 5,481.90 and 1,191.20 is: 1,786.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.60 : 5,481.90 = 1,191.20 : x
  2. Step 2: Convert to fraction form
    3,654.60/5,481.90 = 1,191.20/x
  3. Step 3: Cross multiply
    3,654.60x = 5,481.90 × 1,191.20
  4. Step 4: Simplify right side
    3,654.60x = 6,530,011.87
  5. Step 5: Solve for x
    x = 6,530,011.87/3,654.60
  6. Step 6: Final answer
    x = 1,786.79

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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.