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Finding the Fourth Proportional to 3,633.71, 5,013.74 and 2,141.07

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Solution

The fourth proportional to 3,633.71, 5,013.74 and 2,141.07 is: 2,954.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.71 : 5,013.74 = 2,141.07 : x
  2. Step 2: Convert to fraction form
    3,633.71/5,013.74 = 2,141.07/x
  3. Step 3: Cross multiply
    3,633.71x = 5,013.74 × 2,141.07
  4. Step 4: Simplify right side
    3,633.71x = 10,734,757.60
  5. Step 5: Solve for x
    x = 10,734,757.60/3,633.71
  6. Step 6: Final answer
    x = 2,954.22

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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.