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Finding the Fourth Proportional to 4,136.70, 5,708.67 and 2,273.70

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Solution

The fourth proportional to 4,136.70, 5,708.67 and 2,273.70 is: 3,137.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.70 : 5,708.67 = 2,273.70 : x
  2. Step 2: Convert to fraction form
    4,136.70/5,708.67 = 2,273.70/x
  3. Step 3: Cross multiply
    4,136.70x = 5,708.67 × 2,273.70
  4. Step 4: Simplify right side
    4,136.70x = 12,979,802.98
  5. Step 5: Solve for x
    x = 12,979,802.98/4,136.70
  6. Step 6: Final answer
    x = 3,137.72

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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.