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Finding the Fourth Proportional to 3,771.75, 5,205.02 and 2,115.75

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Solution

The fourth proportional to 3,771.75, 5,205.02 and 2,115.75 is: 2,919.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.75 : 5,205.02 = 2,115.75 : x
  2. Step 2: Convert to fraction form
    3,771.75/5,205.02 = 2,115.75/x
  3. Step 3: Cross multiply
    3,771.75x = 5,205.02 × 2,115.75
  4. Step 4: Simplify right side
    3,771.75x = 11,012,510.49
  5. Step 5: Solve for x
    x = 11,012,510.49/3,771.75
  6. Step 6: Final answer
    x = 2,919.74

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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.