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Finding the Fourth Proportional to 5,150.08, 7,722.81 and 1,639.44

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Solution

The fourth proportional to 5,150.08, 7,722.81 and 1,639.44 is: 2,458.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150.08 : 7,722.81 = 1,639.44 : x
  2. Step 2: Convert to fraction form
    5,150.08/7,722.81 = 1,639.44/x
  3. Step 3: Cross multiply
    5,150.08x = 7,722.81 × 1,639.44
  4. Step 4: Simplify right side
    5,150.08x = 12,661,083.63
  5. Step 5: Solve for x
    x = 12,661,083.63/5,150.08
  6. Step 6: Final answer
    x = 2,458.42

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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.