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Finding the Fourth Proportional to 4,111.36, 6,169.77 and 3,837.98

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Solution

The fourth proportional to 4,111.36, 6,169.77 and 3,837.98 is: 5,759.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,111.36 : 6,169.77 = 3,837.98 : x
  2. Step 2: Convert to fraction form
    4,111.36/6,169.77 = 3,837.98/x
  3. Step 3: Cross multiply
    4,111.36x = 6,169.77 × 3,837.98
  4. Step 4: Simplify right side
    4,111.36x = 23,679,469.29
  5. Step 5: Solve for x
    x = 23,679,469.29/4,111.36
  6. Step 6: Final answer
    x = 5,759.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.