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Finding the Fourth Proportional to 3,694.68, 5,537.39 and 1,846.31

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Solution

The fourth proportional to 3,694.68, 5,537.39 and 1,846.31 is: 2,767.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.68 : 5,537.39 = 1,846.31 : x
  2. Step 2: Convert to fraction form
    3,694.68/5,537.39 = 1,846.31/x
  3. Step 3: Cross multiply
    3,694.68x = 5,537.39 × 1,846.31
  4. Step 4: Simplify right side
    3,694.68x = 10,223,738.53
  5. Step 5: Solve for x
    x = 10,223,738.53/3,694.68
  6. Step 6: Final answer
    x = 2,767.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.