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Finding the Fourth Proportional to 3,765.97, 5,197.09 and 2,087.41

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Solution

The fourth proportional to 3,765.97, 5,197.09 and 2,087.41 is: 2,880.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.97 : 5,197.09 = 2,087.41 : x
  2. Step 2: Convert to fraction form
    3,765.97/5,197.09 = 2,087.41/x
  3. Step 3: Cross multiply
    3,765.97x = 5,197.09 × 2,087.41
  4. Step 4: Simplify right side
    3,765.97x = 10,848,457.64
  5. Step 5: Solve for x
    x = 10,848,457.64/3,765.97
  6. Step 6: Final answer
    x = 2,880.65

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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.