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Finding the Fourth Proportional to 3,648.26, 5,467.26 and 1,669.03

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Solution

The fourth proportional to 3,648.26, 5,467.26 and 1,669.03 is: 2,501.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.26 : 5,467.26 = 1,669.03 : x
  2. Step 2: Convert to fraction form
    3,648.26/5,467.26 = 1,669.03/x
  3. Step 3: Cross multiply
    3,648.26x = 5,467.26 × 1,669.03
  4. Step 4: Simplify right side
    3,648.26x = 9,125,020.96
  5. Step 5: Solve for x
    x = 9,125,020.96/3,648.26
  6. Step 6: Final answer
    x = 2,501.20

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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.