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Finding the Fourth Proportional to 4,616.19, 6,371.73 and 3,293.73

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Solution

The fourth proportional to 4,616.19, 6,371.73 and 3,293.73 is: 4,546.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.19 : 6,371.73 = 3,293.73 : x
  2. Step 2: Convert to fraction form
    4,616.19/6,371.73 = 3,293.73/x
  3. Step 3: Cross multiply
    4,616.19x = 6,371.73 × 3,293.73
  4. Step 4: Simplify right side
    4,616.19x = 20,986,758.25
  5. Step 5: Solve for x
    x = 20,986,758.25/4,616.19
  6. Step 6: Final answer
    x = 4,546.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.