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Finding the Fourth Proportional to 5,942.99, 8,205.06 and 3,819.47

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Solution

The fourth proportional to 5,942.99, 8,205.06 and 3,819.47 is: 5,273.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.99 : 8,205.06 = 3,819.47 : x
  2. Step 2: Convert to fraction form
    5,942.99/8,205.06 = 3,819.47/x
  3. Step 3: Cross multiply
    5,942.99x = 8,205.06 × 3,819.47
  4. Step 4: Simplify right side
    5,942.99x = 31,338,980.52
  5. Step 5: Solve for x
    x = 31,338,980.52/5,942.99
  6. Step 6: Final answer
    x = 5,273.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.