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Finding the Fourth Proportional to 3,768.93, 5,201.73 and 2,277.05

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Solution

The fourth proportional to 3,768.93, 5,201.73 and 2,277.05 is: 3,142.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.93 : 5,201.73 = 2,277.05 : x
  2. Step 2: Convert to fraction form
    3,768.93/5,201.73 = 2,277.05/x
  3. Step 3: Cross multiply
    3,768.93x = 5,201.73 × 2,277.05
  4. Step 4: Simplify right side
    3,768.93x = 11,844,573.29
  5. Step 5: Solve for x
    x = 11,844,573.29/3,768.93
  6. Step 6: Final answer
    x = 3,142.69

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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.