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Finding the Fourth Proportional to 5,467.64, 8,201.59 and 1,957.89

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Solution

The fourth proportional to 5,467.64, 8,201.59 and 1,957.89 is: 2,936.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,467.64 : 8,201.59 = 1,957.89 : x
  2. Step 2: Convert to fraction form
    5,467.64/8,201.59 = 1,957.89/x
  3. Step 3: Cross multiply
    5,467.64x = 8,201.59 × 1,957.89
  4. Step 4: Simplify right side
    5,467.64x = 16,057,760.25
  5. Step 5: Solve for x
    x = 16,057,760.25/5,467.64
  6. Step 6: Final answer
    x = 2,936.87

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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.