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Finding the Fourth Proportional to 3,787.68, 5,682.06 and 1,189.74

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Solution

The fourth proportional to 3,787.68, 5,682.06 and 1,189.74 is: 1,784.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.68 : 5,682.06 = 1,189.74 : x
  2. Step 2: Convert to fraction form
    3,787.68/5,682.06 = 1,189.74/x
  3. Step 3: Cross multiply
    3,787.68x = 5,682.06 × 1,189.74
  4. Step 4: Simplify right side
    3,787.68x = 6,760,174.06
  5. Step 5: Solve for x
    x = 6,760,174.06/3,787.68
  6. Step 6: Final answer
    x = 1,784.78

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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.