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Finding the Fourth Proportional to 3,644.54, 5,467.86 and 1,179.30

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Solution

The fourth proportional to 3,644.54, 5,467.86 and 1,179.30 is: 1,769.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.54 : 5,467.86 = 1,179.30 : x
  2. Step 2: Convert to fraction form
    3,644.54/5,467.86 = 1,179.30/x
  3. Step 3: Cross multiply
    3,644.54x = 5,467.86 × 1,179.30
  4. Step 4: Simplify right side
    3,644.54x = 6,448,247.30
  5. Step 5: Solve for x
    x = 6,448,247.30/3,644.54
  6. Step 6: Final answer
    x = 1,769.29

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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.