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Finding the Fourth Proportional to 3,718.68, 5,131.74 and 2,040.09

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Solution

The fourth proportional to 3,718.68, 5,131.74 and 2,040.09 is: 2,815.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,718.68 : 5,131.74 = 2,040.09 : x
  2. Step 2: Convert to fraction form
    3,718.68/5,131.74 = 2,040.09/x
  3. Step 3: Cross multiply
    3,718.68x = 5,131.74 × 2,040.09
  4. Step 4: Simplify right side
    3,718.68x = 10,469,211.46
  5. Step 5: Solve for x
    x = 10,469,211.46/3,718.68
  6. Step 6: Final answer
    x = 2,815.30

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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.