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Finding the Fourth Proportional to 5,694.06, 8,540.11 and 1,533.14

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Solution

The fourth proportional to 5,694.06, 8,540.11 and 1,533.14 is: 2,299.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.06 : 8,540.11 = 1,533.14 : x
  2. Step 2: Convert to fraction form
    5,694.06/8,540.11 = 1,533.14/x
  3. Step 3: Cross multiply
    5,694.06x = 8,540.11 × 1,533.14
  4. Step 4: Simplify right side
    5,694.06x = 13,093,141.54
  5. Step 5: Solve for x
    x = 13,093,141.54/5,694.06
  6. Step 6: Final answer
    x = 2,299.44

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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.