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Finding the Fourth Proportional to 3,840.16, 5,754.84 and 2,194.24

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Solution

The fourth proportional to 3,840.16, 5,754.84 and 2,194.24 is: 3,288.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.16 : 5,754.84 = 2,194.24 : x
  2. Step 2: Convert to fraction form
    3,840.16/5,754.84 = 2,194.24/x
  3. Step 3: Cross multiply
    3,840.16x = 5,754.84 × 2,194.24
  4. Step 4: Simplify right side
    3,840.16x = 12,627,500.12
  5. Step 5: Solve for x
    x = 12,627,500.12/3,840.16
  6. Step 6: Final answer
    x = 3,288.27

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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.