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Finding the Fourth Proportional to 6,189.94, 8,542.73 and 3,537.73

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Solution

The fourth proportional to 6,189.94, 8,542.73 and 3,537.73 is: 4,882.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.94 : 8,542.73 = 3,537.73 : x
  2. Step 2: Convert to fraction form
    6,189.94/8,542.73 = 3,537.73/x
  3. Step 3: Cross multiply
    6,189.94x = 8,542.73 × 3,537.73
  4. Step 4: Simplify right side
    6,189.94x = 30,221,811.80
  5. Step 5: Solve for x
    x = 30,221,811.80/6,189.94
  6. Step 6: Final answer
    x = 4,882.41

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