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Finding the Fourth Proportional to 3,674.50, 5,504.34 and 1,697.34

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Solution

The fourth proportional to 3,674.50, 5,504.34 and 1,697.34 is: 2,542.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.50 : 5,504.34 = 1,697.34 : x
  2. Step 2: Convert to fraction form
    3,674.50/5,504.34 = 1,697.34/x
  3. Step 3: Cross multiply
    3,674.50x = 5,504.34 × 1,697.34
  4. Step 4: Simplify right side
    3,674.50x = 9,342,736.46
  5. Step 5: Solve for x
    x = 9,342,736.46/3,674.50
  6. Step 6: Final answer
    x = 2,542.59

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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.