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Finding the Fourth Proportional to 3,406.68, 5,110.67 and 1,185.44

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Solution

The fourth proportional to 3,406.68, 5,110.67 and 1,185.44 is: 1,778.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.68 : 5,110.67 = 1,185.44 : x
  2. Step 2: Convert to fraction form
    3,406.68/5,110.67 = 1,185.44/x
  3. Step 3: Cross multiply
    3,406.68x = 5,110.67 × 1,185.44
  4. Step 4: Simplify right side
    3,406.68x = 6,058,361.16
  5. Step 5: Solve for x
    x = 6,058,361.16/3,406.68
  6. Step 6: Final answer
    x = 1,778.38

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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.