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Finding the Fourth Proportional to 4,832.94, 6,669.32 and 2,843.04

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Solution

The fourth proportional to 4,832.94, 6,669.32 and 2,843.04 is: 3,923.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,832.94 : 6,669.32 = 2,843.04 : x
  2. Step 2: Convert to fraction form
    4,832.94/6,669.32 = 2,843.04/x
  3. Step 3: Cross multiply
    4,832.94x = 6,669.32 × 2,843.04
  4. Step 4: Simplify right side
    4,832.94x = 18,961,143.53
  5. Step 5: Solve for x
    x = 18,961,143.53/4,832.94
  6. Step 6: Final answer
    x = 3,923.31

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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.