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Finding the Fourth Proportional to 3,791.69, 5,684.93 and 1,941.56

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Solution

The fourth proportional to 3,791.69, 5,684.93 and 1,941.56 is: 2,911.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.69 : 5,684.93 = 1,941.56 : x
  2. Step 2: Convert to fraction form
    3,791.69/5,684.93 = 1,941.56/x
  3. Step 3: Cross multiply
    3,791.69x = 5,684.93 × 1,941.56
  4. Step 4: Simplify right side
    3,791.69x = 11,037,632.69
  5. Step 5: Solve for x
    x = 11,037,632.69/3,791.69
  6. Step 6: Final answer
    x = 2,911.01

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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.