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Finding the Fourth Proportional to 3,653.40, 5,040.94 and 2,161.36

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Solution

The fourth proportional to 3,653.40, 5,040.94 and 2,161.36 is: 2,982.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.40 : 5,040.94 = 2,161.36 : x
  2. Step 2: Convert to fraction form
    3,653.40/5,040.94 = 2,161.36/x
  3. Step 3: Cross multiply
    3,653.40x = 5,040.94 × 2,161.36
  4. Step 4: Simplify right side
    3,653.40x = 10,895,286.08
  5. Step 5: Solve for x
    x = 10,895,286.08/3,653.40
  6. Step 6: Final answer
    x = 2,982.23

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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.