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Finding the Fourth Proportional to 3,704.97, 5,109.98 and 2,212.57

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Solution

The fourth proportional to 3,704.97, 5,109.98 and 2,212.57 is: 3,051.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.97 : 5,109.98 = 2,212.57 : x
  2. Step 2: Convert to fraction form
    3,704.97/5,109.98 = 2,212.57/x
  3. Step 3: Cross multiply
    3,704.97x = 5,109.98 × 2,212.57
  4. Step 4: Simplify right side
    3,704.97x = 11,306,188.45
  5. Step 5: Solve for x
    x = 11,306,188.45/3,704.97
  6. Step 6: Final answer
    x = 3,051.63

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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.