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Finding the Fourth Proportional to 3,604.50, 5,405.40 and 2,124.09

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Solution

The fourth proportional to 3,604.50, 5,405.40 and 2,124.09 is: 3,185.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.50 : 5,405.40 = 2,124.09 : x
  2. Step 2: Convert to fraction form
    3,604.50/5,405.40 = 2,124.09/x
  3. Step 3: Cross multiply
    3,604.50x = 5,405.40 × 2,124.09
  4. Step 4: Simplify right side
    3,604.50x = 11,481,556.09
  5. Step 5: Solve for x
    x = 11,481,556.09/3,604.50
  6. Step 6: Final answer
    x = 3,185.34

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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.