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Finding the Fourth Proportional to 4,616.82, 6,919.97 and 1,983.54

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Solution

The fourth proportional to 4,616.82, 6,919.97 and 1,983.54 is: 2,973.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.82 : 6,919.97 = 1,983.54 : x
  2. Step 2: Convert to fraction form
    4,616.82/6,919.97 = 1,983.54/x
  3. Step 3: Cross multiply
    4,616.82x = 6,919.97 × 1,983.54
  4. Step 4: Simplify right side
    4,616.82x = 13,726,037.29
  5. Step 5: Solve for x
    x = 13,726,037.29/4,616.82
  6. Step 6: Final answer
    x = 2,973.05

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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.