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Finding the Fourth Proportional to 3,993.69, 5,991.14 and 1,396.02

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Solution

The fourth proportional to 3,993.69, 5,991.14 and 1,396.02 is: 2,094.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.69 : 5,991.14 = 1,396.02 : x
  2. Step 2: Convert to fraction form
    3,993.69/5,991.14 = 1,396.02/x
  3. Step 3: Cross multiply
    3,993.69x = 5,991.14 × 1,396.02
  4. Step 4: Simplify right side
    3,993.69x = 8,363,751.26
  5. Step 5: Solve for x
    x = 8,363,751.26/3,993.69
  6. Step 6: Final answer
    x = 2,094.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.