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Finding the Fourth Proportional to 3,704.59, 5,112.65 and 2,111.73

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Solution

The fourth proportional to 3,704.59, 5,112.65 and 2,111.73 is: 2,914.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.59 : 5,112.65 = 2,111.73 : x
  2. Step 2: Convert to fraction form
    3,704.59/5,112.65 = 2,111.73/x
  3. Step 3: Cross multiply
    3,704.59x = 5,112.65 × 2,111.73
  4. Step 4: Simplify right side
    3,704.59x = 10,796,536.38
  5. Step 5: Solve for x
    x = 10,796,536.38/3,704.59
  6. Step 6: Final answer
    x = 2,914.37

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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.