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Finding the Fourth Proportional to 3,789.72, 5,682.60 and 1,191.96

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Solution

The fourth proportional to 3,789.72, 5,682.60 and 1,191.96 is: 1,787.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.72 : 5,682.60 = 1,191.96 : x
  2. Step 2: Convert to fraction form
    3,789.72/5,682.60 = 1,191.96/x
  3. Step 3: Cross multiply
    3,789.72x = 5,682.60 × 1,191.96
  4. Step 4: Simplify right side
    3,789.72x = 6,773,431.90
  5. Step 5: Solve for x
    x = 6,773,431.90/3,789.72
  6. Step 6: Final answer
    x = 1,787.32

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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.