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Finding the Fourth Proportional to 3,654.25, 5,481.65 and 1,188.88

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Solution

The fourth proportional to 3,654.25, 5,481.65 and 1,188.88 is: 1,783.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.25 : 5,481.65 = 1,188.88 : x
  2. Step 2: Convert to fraction form
    3,654.25/5,481.65 = 1,188.88/x
  3. Step 3: Cross multiply
    3,654.25x = 5,481.65 × 1,188.88
  4. Step 4: Simplify right side
    3,654.25x = 6,517,024.05
  5. Step 5: Solve for x
    x = 6,517,024.05/3,654.25
  6. Step 6: Final answer
    x = 1,783.41

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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.