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Finding the Fourth Proportional to 4,136.63, 5,708.60 and 2,273.63

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Solution

The fourth proportional to 4,136.63, 5,708.60 and 2,273.63 is: 3,137.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.63 : 5,708.60 = 2,273.63 : x
  2. Step 2: Convert to fraction form
    4,136.63/5,708.60 = 2,273.63/x
  3. Step 3: Cross multiply
    4,136.63x = 5,708.60 × 2,273.63
  4. Step 4: Simplify right side
    4,136.63x = 12,979,204.31
  5. Step 5: Solve for x
    x = 12,979,204.31/4,136.63
  6. Step 6: Final answer
    x = 3,137.63

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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.