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Finding the Fourth Proportional to 5,860.38, 8,092.74 and 3,768.12

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Solution

The fourth proportional to 5,860.38, 8,092.74 and 3,768.12 is: 5,203.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,860.38 : 8,092.74 = 3,768.12 : x
  2. Step 2: Convert to fraction form
    5,860.38/8,092.74 = 3,768.12/x
  3. Step 3: Cross multiply
    5,860.38x = 8,092.74 × 3,768.12
  4. Step 4: Simplify right side
    5,860.38x = 30,494,415.45
  5. Step 5: Solve for x
    x = 30,494,415.45/5,860.38
  6. Step 6: Final answer
    x = 5,203.49

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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.