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Finding the Fourth Proportional to 5,467.37, 8,201.23 and 1,769.63

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Solution

The fourth proportional to 5,467.37, 8,201.23 and 1,769.63 is: 2,654.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,467.37 : 8,201.23 = 1,769.63 : x
  2. Step 2: Convert to fraction form
    5,467.37/8,201.23 = 1,769.63/x
  3. Step 3: Cross multiply
    5,467.37x = 8,201.23 × 1,769.63
  4. Step 4: Simplify right side
    5,467.37x = 14,513,097.21
  5. Step 5: Solve for x
    x = 14,513,097.21/5,467.37
  6. Step 6: Final answer
    x = 2,654.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.