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Finding the Fourth Proportional to 3,383.09, 5,074.37 and 918.15

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Solution

The fourth proportional to 3,383.09, 5,074.37 and 918.15 is: 1,377.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383.09 : 5,074.37 = 918.15 : x
  2. Step 2: Convert to fraction form
    3,383.09/5,074.37 = 918.15/x
  3. Step 3: Cross multiply
    3,383.09x = 5,074.37 × 918.15
  4. Step 4: Simplify right side
    3,383.09x = 4,659,028.22
  5. Step 5: Solve for x
    x = 4,659,028.22/3,383.09
  6. Step 6: Final answer
    x = 1,377.15

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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.