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Finding the Fourth Proportional to 4,136.97, 5,713.98 and 3,016.11

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Solution

The fourth proportional to 4,136.97, 5,713.98 and 3,016.11 is: 4,165.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.97 : 5,713.98 = 3,016.11 : x
  2. Step 2: Convert to fraction form
    4,136.97/5,713.98 = 3,016.11/x
  3. Step 3: Cross multiply
    4,136.97x = 5,713.98 × 3,016.11
  4. Step 4: Simplify right side
    4,136.97x = 17,233,992.22
  5. Step 5: Solve for x
    x = 17,233,992.22/4,136.97
  6. Step 6: Final answer
    x = 4,165.85

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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.