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Finding the Fourth Proportional to 5,467.60, 8,202.69 and 1,769.50

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Solution

The fourth proportional to 5,467.60, 8,202.69 and 1,769.50 is: 2,654.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,467.60 : 8,202.69 = 1,769.50 : x
  2. Step 2: Convert to fraction form
    5,467.60/8,202.69 = 1,769.50/x
  3. Step 3: Cross multiply
    5,467.60x = 8,202.69 × 1,769.50
  4. Step 4: Simplify right side
    5,467.60x = 14,514,659.96
  5. Step 5: Solve for x
    x = 14,514,659.96/5,467.60
  6. Step 6: Final answer
    x = 2,654.67

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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.