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Finding the Fourth Proportional to 3,788.20, 5,682.62 and 1,191.88

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Solution

The fourth proportional to 3,788.20, 5,682.62 and 1,191.88 is: 1,787.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.20 : 5,682.62 = 1,191.88 : x
  2. Step 2: Convert to fraction form
    3,788.20/5,682.62 = 1,191.88/x
  3. Step 3: Cross multiply
    3,788.20x = 5,682.62 × 1,191.88
  4. Step 4: Simplify right side
    3,788.20x = 6,773,001.13
  5. Step 5: Solve for x
    x = 6,773,001.13/3,788.20
  6. Step 6: Final answer
    x = 1,787.92

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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.