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Finding the Fourth Proportional to 3,711.83, 5,122.31 and 2,033.33

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Solution

The fourth proportional to 3,711.83, 5,122.31 and 2,033.33 is: 2,805.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.83 : 5,122.31 = 2,033.33 : x
  2. Step 2: Convert to fraction form
    3,711.83/5,122.31 = 2,033.33/x
  3. Step 3: Cross multiply
    3,711.83x = 5,122.31 × 2,033.33
  4. Step 4: Simplify right side
    3,711.83x = 10,415,310.81
  5. Step 5: Solve for x
    x = 10,415,310.81/3,711.83
  6. Step 6: Final answer
    x = 2,805.98

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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.