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Finding the Fourth Proportional to 3,993.14, 5,989.26 and 1,071.22

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Solution

The fourth proportional to 3,993.14, 5,989.26 and 1,071.22 is: 1,606.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.14 : 5,989.26 = 1,071.22 : x
  2. Step 2: Convert to fraction form
    3,993.14/5,989.26 = 1,071.22/x
  3. Step 3: Cross multiply
    3,993.14x = 5,989.26 × 1,071.22
  4. Step 4: Simplify right side
    3,993.14x = 6,415,815.10
  5. Step 5: Solve for x
    x = 6,415,815.10/3,993.14
  6. Step 6: Final answer
    x = 1,606.71

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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.