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Finding the Fourth Proportional to 3,382.72, 5,076.30 and 1,191.40

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Solution

The fourth proportional to 3,382.72, 5,076.30 and 1,191.40 is: 1,787.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.72 : 5,076.30 = 1,191.40 : x
  2. Step 2: Convert to fraction form
    3,382.72/5,076.30 = 1,191.40/x
  3. Step 3: Cross multiply
    3,382.72x = 5,076.30 × 1,191.40
  4. Step 4: Simplify right side
    3,382.72x = 6,047,903.82
  5. Step 5: Solve for x
    x = 6,047,903.82/3,382.72
  6. Step 6: Final answer
    x = 1,787.88

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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.