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Finding the Fourth Proportional to 3,896.62, 5,847.27 and 1,397.61

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Solution

The fourth proportional to 3,896.62, 5,847.27 and 1,397.61 is: 2,097.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.62 : 5,847.27 = 1,397.61 : x
  2. Step 2: Convert to fraction form
    3,896.62/5,847.27 = 1,397.61/x
  3. Step 3: Cross multiply
    3,896.62x = 5,847.27 × 1,397.61
  4. Step 4: Simplify right side
    3,896.62x = 8,172,203.02
  5. Step 5: Solve for x
    x = 8,172,203.02/3,896.62
  6. Step 6: Final answer
    x = 2,097.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.