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Finding the Fourth Proportional to 3,694.09, 5,541.18 and 1,228.91

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Solution

The fourth proportional to 3,694.09, 5,541.18 and 1,228.91 is: 1,843.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.09 : 5,541.18 = 1,228.91 : x
  2. Step 2: Convert to fraction form
    3,694.09/5,541.18 = 1,228.91/x
  3. Step 3: Cross multiply
    3,694.09x = 5,541.18 × 1,228.91
  4. Step 4: Simplify right side
    3,694.09x = 6,809,611.51
  5. Step 5: Solve for x
    x = 6,809,611.51/3,694.09
  6. Step 6: Final answer
    x = 1,843.38

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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.