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Finding the Fourth Proportional to 4,832.26, 6,669.13 and 2,843

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Solution

The fourth proportional to 4,832.26, 6,669.13 and 2,843 is: 3,923.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,832.26 : 6,669.13 = 2,843 : x
  2. Step 2: Convert to fraction form
    4,832.26/6,669.13 = 2,843/x
  3. Step 3: Cross multiply
    4,832.26x = 6,669.13 × 2,843
  4. Step 4: Simplify right side
    4,832.26x = 18,960,336.59
  5. Step 5: Solve for x
    x = 18,960,336.59/4,832.26
  6. Step 6: Final answer
    x = 3,923.70

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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.