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Finding the Fourth Proportional to 3,382.65, 5,076.23 and 1,191.38

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Solution

The fourth proportional to 3,382.65, 5,076.23 and 1,191.38 is: 1,787.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.65 : 5,076.23 = 1,191.38 : x
  2. Step 2: Convert to fraction form
    3,382.65/5,076.23 = 1,191.38/x
  3. Step 3: Cross multiply
    3,382.65x = 5,076.23 × 1,191.38
  4. Step 4: Simplify right side
    3,382.65x = 6,047,687.56
  5. Step 5: Solve for x
    x = 6,047,687.56/3,382.65
  6. Step 6: Final answer
    x = 1,787.85

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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.