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Finding the Fourth Proportional to 3,136.82, 4,705.38 and 1,189.17

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Solution

The fourth proportional to 3,136.82, 4,705.38 and 1,189.17 is: 1,783.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.82 : 4,705.38 = 1,189.17 : x
  2. Step 2: Convert to fraction form
    3,136.82/4,705.38 = 1,189.17/x
  3. Step 3: Cross multiply
    3,136.82x = 4,705.38 × 1,189.17
  4. Step 4: Simplify right side
    3,136.82x = 5,595,496.73
  5. Step 5: Solve for x
    x = 5,595,496.73/3,136.82
  6. Step 6: Final answer
    x = 1,783.81

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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.