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Finding the Fourth Proportional to 3,993.10, 5,989.29 and 1,395.88

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Solution

The fourth proportional to 3,993.10, 5,989.29 and 1,395.88 is: 2,093.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.10 : 5,989.29 = 1,395.88 : x
  2. Step 2: Convert to fraction form
    3,993.10/5,989.29 = 1,395.88/x
  3. Step 3: Cross multiply
    3,993.10x = 5,989.29 × 1,395.88
  4. Step 4: Simplify right side
    3,993.10x = 8,360,330.13
  5. Step 5: Solve for x
    x = 8,360,330.13/3,993.10
  6. Step 6: Final answer
    x = 2,093.69

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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.