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Finding the Fourth Proportional to 3,669.89, 5,064.41 and 1,991.29

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Solution

The fourth proportional to 3,669.89, 5,064.41 and 1,991.29 is: 2,747.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.89 : 5,064.41 = 1,991.29 : x
  2. Step 2: Convert to fraction form
    3,669.89/5,064.41 = 1,991.29/x
  3. Step 3: Cross multiply
    3,669.89x = 5,064.41 × 1,991.29
  4. Step 4: Simplify right side
    3,669.89x = 10,084,700.88
  5. Step 5: Solve for x
    x = 10,084,700.88/3,669.89
  6. Step 6: Final answer
    x = 2,747.95

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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.