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Finding the Fourth Proportional to 3,859.21, 5,791.69 and 2,606.84

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Solution

The fourth proportional to 3,859.21, 5,791.69 and 2,606.84 is: 3,912.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.21 : 5,791.69 = 2,606.84 : x
  2. Step 2: Convert to fraction form
    3,859.21/5,791.69 = 2,606.84/x
  3. Step 3: Cross multiply
    3,859.21x = 5,791.69 × 2,606.84
  4. Step 4: Simplify right side
    3,859.21x = 15,098,009.16
  5. Step 5: Solve for x
    x = 15,098,009.16/3,859.21
  6. Step 6: Final answer
    x = 3,912.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.