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Finding the Fourth Proportional to 4,136.81, 5,708.81 and 2,273.81

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Solution

The fourth proportional to 4,136.81, 5,708.81 and 2,273.81 is: 3,137.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.81 : 5,708.81 = 2,273.81 : x
  2. Step 2: Convert to fraction form
    4,136.81/5,708.81 = 2,273.81/x
  3. Step 3: Cross multiply
    4,136.81x = 5,708.81 × 2,273.81
  4. Step 4: Simplify right side
    4,136.81x = 12,980,752.17
  5. Step 5: Solve for x
    x = 12,980,752.17/4,136.81
  6. Step 6: Final answer
    x = 3,137.86

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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.