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Finding the Fourth Proportional to 4,858.92, 6,706.42 and 2,843.26

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Solution

The fourth proportional to 4,858.92, 6,706.42 and 2,843.26 is: 3,924.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,858.92 : 6,706.42 = 2,843.26 : x
  2. Step 2: Convert to fraction form
    4,858.92/6,706.42 = 2,843.26/x
  3. Step 3: Cross multiply
    4,858.92x = 6,706.42 × 2,843.26
  4. Step 4: Simplify right side
    4,858.92x = 19,068,095.73
  5. Step 5: Solve for x
    x = 19,068,095.73/4,858.92
  6. Step 6: Final answer
    x = 3,924.35

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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.