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Finding the Fourth Proportional to 3,669.74, 5,064.22 and 1,991.16

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Solution

The fourth proportional to 3,669.74, 5,064.22 and 1,991.16 is: 2,747.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.74 : 5,064.22 = 1,991.16 : x
  2. Step 2: Convert to fraction form
    3,669.74/5,064.22 = 1,991.16/x
  3. Step 3: Cross multiply
    3,669.74x = 5,064.22 × 1,991.16
  4. Step 4: Simplify right side
    3,669.74x = 10,083,672.30
  5. Step 5: Solve for x
    x = 10,083,672.30/3,669.74
  6. Step 6: Final answer
    x = 2,747.79

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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.