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Finding the Fourth Proportional to 3,910.14, 5,393.99 and 2,966.09

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Solution

The fourth proportional to 3,910.14, 5,393.99 and 2,966.09 is: 4,091.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910.14 : 5,393.99 = 2,966.09 : x
  2. Step 2: Convert to fraction form
    3,910.14/5,393.99 = 2,966.09/x
  3. Step 3: Cross multiply
    3,910.14x = 5,393.99 × 2,966.09
  4. Step 4: Simplify right side
    3,910.14x = 15,999,040.24
  5. Step 5: Solve for x
    x = 15,999,040.24/3,910.14
  6. Step 6: Final answer
    x = 4,091.68

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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.