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Finding the Fourth Proportional to 3,847.84, 5,286.98 and 3,060.52

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Solution

The fourth proportional to 3,847.84, 5,286.98 and 3,060.52 is: 4,205.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.84 : 5,286.98 = 3,060.52 : x
  2. Step 2: Convert to fraction form
    3,847.84/5,286.98 = 3,060.52/x
  3. Step 3: Cross multiply
    3,847.84x = 5,286.98 × 3,060.52
  4. Step 4: Simplify right side
    3,847.84x = 16,180,908.03
  5. Step 5: Solve for x
    x = 16,180,908.03/3,847.84
  6. Step 6: Final answer
    x = 4,205.19

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.