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Finding the Fourth Proportional to 3,890.64, 5,369.21 and 2,211.96

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Solution

The fourth proportional to 3,890.64, 5,369.21 and 2,211.96 is: 3,052.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890.64 : 5,369.21 = 2,211.96 : x
  2. Step 2: Convert to fraction form
    3,890.64/5,369.21 = 2,211.96/x
  3. Step 3: Cross multiply
    3,890.64x = 5,369.21 × 2,211.96
  4. Step 4: Simplify right side
    3,890.64x = 11,876,477.75
  5. Step 5: Solve for x
    x = 11,876,477.75/3,890.64
  6. Step 6: Final answer
    x = 3,052.58

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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.