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Finding the Fourth Proportional to 3,897.27, 5,872.21 and 3,219.13

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Solution

The fourth proportional to 3,897.27, 5,872.21 and 3,219.13 is: 4,850.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.27 : 5,872.21 = 3,219.13 : x
  2. Step 2: Convert to fraction form
    3,897.27/5,872.21 = 3,219.13/x
  3. Step 3: Cross multiply
    3,897.27x = 5,872.21 × 3,219.13
  4. Step 4: Simplify right side
    3,897.27x = 18,903,384.65
  5. Step 5: Solve for x
    x = 18,903,384.65/3,897.27
  6. Step 6: Final answer
    x = 4,850.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.