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Finding the Fourth Proportional to 4,136.66, 5,708.59 and 2,273.66

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Solution

The fourth proportional to 4,136.66, 5,708.59 and 2,273.66 is: 3,137.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.66 : 5,708.59 = 2,273.66 : x
  2. Step 2: Convert to fraction form
    4,136.66/5,708.59 = 2,273.66/x
  3. Step 3: Cross multiply
    4,136.66x = 5,708.59 × 2,273.66
  4. Step 4: Simplify right side
    4,136.66x = 12,979,392.74
  5. Step 5: Solve for x
    x = 12,979,392.74/4,136.66
  6. Step 6: Final answer
    x = 3,137.65

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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.