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Finding the Fourth Proportional to 3,791.38, 5,232.02 and 2,596.33

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Solution

The fourth proportional to 3,791.38, 5,232.02 and 2,596.33 is: 3,582.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.38 : 5,232.02 = 2,596.33 : x
  2. Step 2: Convert to fraction form
    3,791.38/5,232.02 = 2,596.33/x
  3. Step 3: Cross multiply
    3,791.38x = 5,232.02 × 2,596.33
  4. Step 4: Simplify right side
    3,791.38x = 13,584,050.49
  5. Step 5: Solve for x
    x = 13,584,050.49/3,791.38
  6. Step 6: Final answer
    x = 3,582.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.