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Finding the Fourth Proportional to 3,408.50, 5,109.97 and 1,765.52

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Solution

The fourth proportional to 3,408.50, 5,109.97 and 1,765.52 is: 2,646.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.50 : 5,109.97 = 1,765.52 : x
  2. Step 2: Convert to fraction form
    3,408.50/5,109.97 = 1,765.52/x
  3. Step 3: Cross multiply
    3,408.50x = 5,109.97 × 1,765.52
  4. Step 4: Simplify right side
    3,408.50x = 9,021,754.23
  5. Step 5: Solve for x
    x = 9,021,754.23/3,408.50
  6. Step 6: Final answer
    x = 2,646.84

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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.