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Finding the Fourth Proportional to 3,791.05, 5,686.47 and 2,241.79

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Solution

The fourth proportional to 3,791.05, 5,686.47 and 2,241.79 is: 3,362.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.05 : 5,686.47 = 2,241.79 : x
  2. Step 2: Convert to fraction form
    3,791.05/5,686.47 = 2,241.79/x
  3. Step 3: Cross multiply
    3,791.05x = 5,686.47 × 2,241.79
  4. Step 4: Simplify right side
    3,791.05x = 12,747,871.58
  5. Step 5: Solve for x
    x = 12,747,871.58/3,791.05
  6. Step 6: Final answer
    x = 3,362.62

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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.