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Finding the Fourth Proportional to 3,684.98, 5,523.99 and 1,834.34

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Solution

The fourth proportional to 3,684.98, 5,523.99 and 1,834.34 is: 2,749.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.98 : 5,523.99 = 1,834.34 : x
  2. Step 2: Convert to fraction form
    3,684.98/5,523.99 = 1,834.34/x
  3. Step 3: Cross multiply
    3,684.98x = 5,523.99 × 1,834.34
  4. Step 4: Simplify right side
    3,684.98x = 10,132,866.64
  5. Step 5: Solve for x
    x = 10,132,866.64/3,684.98
  6. Step 6: Final answer
    x = 2,749.78

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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.