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Finding the Fourth Proportional to 3,164.07, 4,365.21 and 1,983.09

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Solution

The fourth proportional to 3,164.07, 4,365.21 and 1,983.09 is: 2,735.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.07 : 4,365.21 = 1,983.09 : x
  2. Step 2: Convert to fraction form
    3,164.07/4,365.21 = 1,983.09/x
  3. Step 3: Cross multiply
    3,164.07x = 4,365.21 × 1,983.09
  4. Step 4: Simplify right side
    3,164.07x = 8,656,604.30
  5. Step 5: Solve for x
    x = 8,656,604.30/3,164.07
  6. Step 6: Final answer
    x = 2,735.91

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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.