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Finding the Fourth Proportional to 3,851.54, 5,315.09 and 2,083.14

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Solution

The fourth proportional to 3,851.54, 5,315.09 and 2,083.14 is: 2,874.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.54 : 5,315.09 = 2,083.14 : x
  2. Step 2: Convert to fraction form
    3,851.54/5,315.09 = 2,083.14/x
  3. Step 3: Cross multiply
    3,851.54x = 5,315.09 × 2,083.14
  4. Step 4: Simplify right side
    3,851.54x = 11,072,076.58
  5. Step 5: Solve for x
    x = 11,072,076.58/3,851.54
  6. Step 6: Final answer
    x = 2,874.71

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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.