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Finding the Fourth Proportional to 4,565.73, 6,846.46 and 1,643.65

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Solution

The fourth proportional to 4,565.73, 6,846.46 and 1,643.65 is: 2,464.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565.73 : 6,846.46 = 1,643.65 : x
  2. Step 2: Convert to fraction form
    4,565.73/6,846.46 = 1,643.65/x
  3. Step 3: Cross multiply
    4,565.73x = 6,846.46 × 1,643.65
  4. Step 4: Simplify right side
    4,565.73x = 11,253,183.98
  5. Step 5: Solve for x
    x = 11,253,183.98/4,565.73
  6. Step 6: Final answer
    x = 2,464.71

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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.