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Finding the Fourth Proportional to 3,889.94, 5,367.15 and 2,296.62

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Solution

The fourth proportional to 3,889.94, 5,367.15 and 2,296.62 is: 3,168.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.94 : 5,367.15 = 2,296.62 : x
  2. Step 2: Convert to fraction form
    3,889.94/5,367.15 = 2,296.62/x
  3. Step 3: Cross multiply
    3,889.94x = 5,367.15 × 2,296.62
  4. Step 4: Simplify right side
    3,889.94x = 12,326,304.03
  5. Step 5: Solve for x
    x = 12,326,304.03/3,889.94
  6. Step 6: Final answer
    x = 3,168.77

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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.