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Finding the Fourth Proportional to 3,886.20, 5,843.70 and 3,252.60

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Solution

The fourth proportional to 3,886.20, 5,843.70 and 3,252.60 is: 4,890.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.20 : 5,843.70 = 3,252.60 : x
  2. Step 2: Convert to fraction form
    3,886.20/5,843.70 = 3,252.60/x
  3. Step 3: Cross multiply
    3,886.20x = 5,843.70 × 3,252.60
  4. Step 4: Simplify right side
    3,886.20x = 19,007,218.62
  5. Step 5: Solve for x
    x = 19,007,218.62/3,886.20
  6. Step 6: Final answer
    x = 4,890.95

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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.