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Finding the Fourth Proportional to 3,791.78, 5,684.94 and 2,556.14

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Solution

The fourth proportional to 3,791.78, 5,684.94 and 2,556.14 is: 3,832.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.78 : 5,684.94 = 2,556.14 : x
  2. Step 2: Convert to fraction form
    3,791.78/5,684.94 = 2,556.14/x
  3. Step 3: Cross multiply
    3,791.78x = 5,684.94 × 2,556.14
  4. Step 4: Simplify right side
    3,791.78x = 14,531,502.53
  5. Step 5: Solve for x
    x = 14,531,502.53/3,791.78
  6. Step 6: Final answer
    x = 3,832.37

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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.