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Finding the Fourth Proportional to 3,763.69, 5,193.89 and 2,107.69

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Solution

The fourth proportional to 3,763.69, 5,193.89 and 2,107.69 is: 2,908.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.69 : 5,193.89 = 2,107.69 : x
  2. Step 2: Convert to fraction form
    3,763.69/5,193.89 = 2,107.69/x
  3. Step 3: Cross multiply
    3,763.69x = 5,193.89 × 2,107.69
  4. Step 4: Simplify right side
    3,763.69x = 10,947,094.39
  5. Step 5: Solve for x
    x = 10,947,094.39/3,763.69
  6. Step 6: Final answer
    x = 2,908.61

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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.