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Finding the Fourth Proportional to 3,704.25, 5,111.05 and 2,211.94

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Solution

The fourth proportional to 3,704.25, 5,111.05 and 2,211.94 is: 3,051.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.25 : 5,111.05 = 2,211.94 : x
  2. Step 2: Convert to fraction form
    3,704.25/5,111.05 = 2,211.94/x
  3. Step 3: Cross multiply
    3,704.25x = 5,111.05 × 2,211.94
  4. Step 4: Simplify right side
    3,704.25x = 11,305,304.85
  5. Step 5: Solve for x
    x = 11,305,304.85/3,704.25
  6. Step 6: Final answer
    x = 3,051.98

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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.