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Finding the Fourth Proportional to 3,704.75, 5,112.63 and 2,212.38

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Solution

The fourth proportional to 3,704.75, 5,112.63 and 2,212.38 is: 3,053.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.75 : 5,112.63 = 2,212.38 : x
  2. Step 2: Convert to fraction form
    3,704.75/5,112.63 = 2,212.38/x
  3. Step 3: Cross multiply
    3,704.75x = 5,112.63 × 2,212.38
  4. Step 4: Simplify right side
    3,704.75x = 11,311,089.95
  5. Step 5: Solve for x
    x = 11,311,089.95/3,704.75
  6. Step 6: Final answer
    x = 3,053.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.