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Finding the Fourth Proportional to 3,704.59, 5,112.28 and 2,212.23

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Solution

The fourth proportional to 3,704.59, 5,112.28 and 2,212.23 is: 3,052.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.59 : 5,112.28 = 2,212.23 : x
  2. Step 2: Convert to fraction form
    3,704.59/5,112.28 = 2,212.23/x
  3. Step 3: Cross multiply
    3,704.59x = 5,112.28 × 2,212.23
  4. Step 4: Simplify right side
    3,704.59x = 11,309,539.18
  5. Step 5: Solve for x
    x = 11,309,539.18/3,704.59
  6. Step 6: Final answer
    x = 3,052.85

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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.