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Finding the Fourth Proportional to 3,819.66, 5,729.54 and 2,780.22

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Solution

The fourth proportional to 3,819.66, 5,729.54 and 2,780.22 is: 4,170.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.66 : 5,729.54 = 2,780.22 : x
  2. Step 2: Convert to fraction form
    3,819.66/5,729.54 = 2,780.22/x
  3. Step 3: Cross multiply
    3,819.66x = 5,729.54 × 2,780.22
  4. Step 4: Simplify right side
    3,819.66x = 15,929,389.28
  5. Step 5: Solve for x
    x = 15,929,389.28/3,819.66
  6. Step 6: Final answer
    x = 4,170.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.