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Finding the Fourth Proportional to 3,889.44, 5,367.60 and 3,109.14

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Solution

The fourth proportional to 3,889.44, 5,367.60 and 3,109.14 is: 4,290.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.44 : 5,367.60 = 3,109.14 : x
  2. Step 2: Convert to fraction form
    3,889.44/5,367.60 = 3,109.14/x
  3. Step 3: Cross multiply
    3,889.44x = 5,367.60 × 3,109.14
  4. Step 4: Simplify right side
    3,889.44x = 16,688,619.86
  5. Step 5: Solve for x
    x = 16,688,619.86/3,889.44
  6. Step 6: Final answer
    x = 4,290.75

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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.