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Finding the Fourth Proportional to 5,382.67, 8,072.74 and 2,094.43

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Solution

The fourth proportional to 5,382.67, 8,072.74 and 2,094.43 is: 3,141.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.67 : 8,072.74 = 2,094.43 : x
  2. Step 2: Convert to fraction form
    5,382.67/8,072.74 = 2,094.43/x
  3. Step 3: Cross multiply
    5,382.67x = 8,072.74 × 2,094.43
  4. Step 4: Simplify right side
    5,382.67x = 16,907,788.84
  5. Step 5: Solve for x
    x = 16,907,788.84/5,382.67
  6. Step 6: Final answer
    x = 3,141.15

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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.