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Finding the Fourth Proportional to 3,383.24, 5,074.47 and 918.25

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Solution

The fourth proportional to 3,383.24, 5,074.47 and 918.25 is: 1,377.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383.24 : 5,074.47 = 918.25 : x
  2. Step 2: Convert to fraction form
    3,383.24/5,074.47 = 918.25/x
  3. Step 3: Cross multiply
    3,383.24x = 5,074.47 × 918.25
  4. Step 4: Simplify right side
    3,383.24x = 4,659,619.39
  5. Step 5: Solve for x
    x = 4,659,619.39/3,383.24
  6. Step 6: Final answer
    x = 1,377.27

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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.