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Finding the Fourth Proportional to 3,791.78, 5,687.69 and 2,367.44

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Solution

The fourth proportional to 3,791.78, 5,687.69 and 2,367.44 is: 3,551.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.78 : 5,687.69 = 2,367.44 : x
  2. Step 2: Convert to fraction form
    3,791.78/5,687.69 = 2,367.44/x
  3. Step 3: Cross multiply
    3,791.78x = 5,687.69 × 2,367.44
  4. Step 4: Simplify right side
    3,791.78x = 13,465,264.81
  5. Step 5: Solve for x
    x = 13,465,264.81/3,791.78
  6. Step 6: Final answer
    x = 3,551.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.