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Finding the Fourth Proportional to 3,944.39, 5,420.09 and 3,157.07

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Solution

The fourth proportional to 3,944.39, 5,420.09 and 3,157.07 is: 4,338.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,944.39 : 5,420.09 = 3,157.07 : x
  2. Step 2: Convert to fraction form
    3,944.39/5,420.09 = 3,157.07/x
  3. Step 3: Cross multiply
    3,944.39x = 5,420.09 × 3,157.07
  4. Step 4: Simplify right side
    3,944.39x = 17,111,584.33
  5. Step 5: Solve for x
    x = 17,111,584.33/3,944.39
  6. Step 6: Final answer
    x = 4,338.21

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.