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Finding the Fourth Proportional to 5,813.41, 8,018.44 and 3,823.33

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Solution

The fourth proportional to 5,813.41, 8,018.44 and 3,823.33 is: 5,273.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.41 : 8,018.44 = 3,823.33 : x
  2. Step 2: Convert to fraction form
    5,813.41/8,018.44 = 3,823.33/x
  3. Step 3: Cross multiply
    5,813.41x = 8,018.44 × 3,823.33
  4. Step 4: Simplify right side
    5,813.41x = 30,657,142.21
  5. Step 5: Solve for x
    x = 30,657,142.21/5,813.41
  6. Step 6: Final answer
    x = 5,273.52

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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.