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Finding the Fourth Proportional to 4,187.97, 5,750.84 and 3,745.71

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Solution

The fourth proportional to 4,187.97, 5,750.84 and 3,745.71 is: 5,143.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,187.97 : 5,750.84 = 3,745.71 : x
  2. Step 2: Convert to fraction form
    4,187.97/5,750.84 = 3,745.71/x
  3. Step 3: Cross multiply
    4,187.97x = 5,750.84 × 3,745.71
  4. Step 4: Simplify right side
    4,187.97x = 21,540,978.90
  5. Step 5: Solve for x
    x = 21,540,978.90/4,187.97
  6. Step 6: Final answer
    x = 5,143.54

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.