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Finding the Fourth Proportional to 5,754.24, 8,614.80 and 3,993.60

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Solution

The fourth proportional to 5,754.24, 8,614.80 and 3,993.60 is: 5,978.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.24 : 8,614.80 = 3,993.60 : x
  2. Step 2: Convert to fraction form
    5,754.24/8,614.80 = 3,993.60/x
  3. Step 3: Cross multiply
    5,754.24x = 8,614.80 × 3,993.60
  4. Step 4: Simplify right side
    5,754.24x = 34,404,065.28
  5. Step 5: Solve for x
    x = 34,404,065.28/5,754.24
  6. Step 6: Final answer
    x = 5,978.91

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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.