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Finding the Fourth Proportional to 4,616.73, 6,920.27 and 2,149.53

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Solution

The fourth proportional to 4,616.73, 6,920.27 and 2,149.53 is: 3,222.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.73 : 6,920.27 = 2,149.53 : x
  2. Step 2: Convert to fraction form
    4,616.73/6,920.27 = 2,149.53/x
  3. Step 3: Cross multiply
    4,616.73x = 6,920.27 × 2,149.53
  4. Step 4: Simplify right side
    4,616.73x = 14,875,327.97
  5. Step 5: Solve for x
    x = 14,875,327.97/4,616.73
  6. Step 6: Final answer
    x = 3,222.05

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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.