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Finding the Fourth Proportional to 3,791.33, 5,684.91 and 1,569.55

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Solution

The fourth proportional to 3,791.33, 5,684.91 and 1,569.55 is: 2,353.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.33 : 5,684.91 = 1,569.55 : x
  2. Step 2: Convert to fraction form
    3,791.33/5,684.91 = 1,569.55/x
  3. Step 3: Cross multiply
    3,791.33x = 5,684.91 × 1,569.55
  4. Step 4: Simplify right side
    3,791.33x = 8,922,761.45
  5. Step 5: Solve for x
    x = 8,922,761.45/3,791.33
  6. Step 6: Final answer
    x = 2,353.46

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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.