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Finding the Fourth Proportional to 2,968.36, 4,096.82 and 2,837.12

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Solution

The fourth proportional to 2,968.36, 4,096.82 and 2,837.12 is: 3,915.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.36 : 4,096.82 = 2,837.12 : x
  2. Step 2: Convert to fraction form
    2,968.36/4,096.82 = 2,837.12/x
  3. Step 3: Cross multiply
    2,968.36x = 4,096.82 × 2,837.12
  4. Step 4: Simplify right side
    2,968.36x = 11,623,169.96
  5. Step 5: Solve for x
    x = 11,623,169.96/2,968.36
  6. Step 6: Final answer
    x = 3,915.69

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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.