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Finding the Fourth Proportional to 3,768.36, 5,201.32 and 2,277.44

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Solution

The fourth proportional to 3,768.36, 5,201.32 and 2,277.44 is: 3,143.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.36 : 5,201.32 = 2,277.44 : x
  2. Step 2: Convert to fraction form
    3,768.36/5,201.32 = 2,277.44/x
  3. Step 3: Cross multiply
    3,768.36x = 5,201.32 × 2,277.44
  4. Step 4: Simplify right side
    3,768.36x = 11,845,694.22
  5. Step 5: Solve for x
    x = 11,845,694.22/3,768.36
  6. Step 6: Final answer
    x = 3,143.46

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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.