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Finding the Fourth Proportional to 3,763.63, 5,193.81 and 2,107.63

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Solution

The fourth proportional to 3,763.63, 5,193.81 and 2,107.63 is: 2,908.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.63 : 5,193.81 = 2,107.63 : x
  2. Step 2: Convert to fraction form
    3,763.63/5,193.81 = 2,107.63/x
  3. Step 3: Cross multiply
    3,763.63x = 5,193.81 × 2,107.63
  4. Step 4: Simplify right side
    3,763.63x = 10,946,593.26
  5. Step 5: Solve for x
    x = 10,946,593.26/3,763.63
  6. Step 6: Final answer
    x = 2,908.52

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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.