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Finding the Fourth Proportional to 3,768.25, 5,200.19 and 2,296.25

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Solution

The fourth proportional to 3,768.25, 5,200.19 and 2,296.25 is: 3,168.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.25 : 5,200.19 = 2,296.25 : x
  2. Step 2: Convert to fraction form
    3,768.25/5,200.19 = 2,296.25/x
  3. Step 3: Cross multiply
    3,768.25x = 5,200.19 × 2,296.25
  4. Step 4: Simplify right side
    3,768.25x = 11,940,924.81
  5. Step 5: Solve for x
    x = 11,940,924.81/3,768.25
  6. Step 6: Final answer
    x = 3,168.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.