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Finding the Fourth Proportional to 3,765.62, 5,648.61 and 1,819.46

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Solution

The fourth proportional to 3,765.62, 5,648.61 and 1,819.46 is: 2,729.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.62 : 5,648.61 = 1,819.46 : x
  2. Step 2: Convert to fraction form
    3,765.62/5,648.61 = 1,819.46/x
  3. Step 3: Cross multiply
    3,765.62x = 5,648.61 × 1,819.46
  4. Step 4: Simplify right side
    3,765.62x = 10,277,419.95
  5. Step 5: Solve for x
    x = 10,277,419.95/3,765.62
  6. Step 6: Final answer
    x = 2,729.28

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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.