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Finding the Fourth Proportional to 4,614.77, 6,369.08 and 2,823.29

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Solution

The fourth proportional to 4,614.77, 6,369.08 and 2,823.29 is: 3,896.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.77 : 6,369.08 = 2,823.29 : x
  2. Step 2: Convert to fraction form
    4,614.77/6,369.08 = 2,823.29/x
  3. Step 3: Cross multiply
    4,614.77x = 6,369.08 × 2,823.29
  4. Step 4: Simplify right side
    4,614.77x = 17,981,759.87
  5. Step 5: Solve for x
    x = 17,981,759.87/4,614.77
  6. Step 6: Final answer
    x = 3,896.57

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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.