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Finding the Fourth Proportional to 3,890.44, 5,367.84 and 2,297.12

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Solution

The fourth proportional to 3,890.44, 5,367.84 and 2,297.12 is: 3,169.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890.44 : 5,367.84 = 2,297.12 : x
  2. Step 2: Convert to fraction form
    3,890.44/5,367.84 = 2,297.12/x
  3. Step 3: Cross multiply
    3,890.44x = 5,367.84 × 2,297.12
  4. Step 4: Simplify right side
    3,890.44x = 12,330,572.62
  5. Step 5: Solve for x
    x = 12,330,572.62/3,890.44
  6. Step 6: Final answer
    x = 3,169.46

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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.