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Finding the Fourth Proportional to 3,768.75, 5,201.13 and 2,112.75

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Solution

The fourth proportional to 3,768.75, 5,201.13 and 2,112.75 is: 2,915.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.75 : 5,201.13 = 2,112.75 : x
  2. Step 2: Convert to fraction form
    3,768.75/5,201.13 = 2,112.75/x
  3. Step 3: Cross multiply
    3,768.75x = 5,201.13 × 2,112.75
  4. Step 4: Simplify right side
    3,768.75x = 10,988,687.41
  5. Step 5: Solve for x
    x = 10,988,687.41/3,768.75
  6. Step 6: Final answer
    x = 2,915.74

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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.