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Finding the Fourth Proportional to 3,993.16, 5,989.74 and 1,396.84

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Solution

The fourth proportional to 3,993.16, 5,989.74 and 1,396.84 is: 2,095.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.16 : 5,989.74 = 1,396.84 : x
  2. Step 2: Convert to fraction form
    3,993.16/5,989.74 = 1,396.84/x
  3. Step 3: Cross multiply
    3,993.16x = 5,989.74 × 1,396.84
  4. Step 4: Simplify right side
    3,993.16x = 8,366,708.42
  5. Step 5: Solve for x
    x = 8,366,708.42/3,993.16
  6. Step 6: Final answer
    x = 2,095.26

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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.