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Finding the Fourth Proportional to 3,765.54, 5,196.48 and 2,086.97

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Solution

The fourth proportional to 3,765.54, 5,196.48 and 2,086.97 is: 2,880.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.54 : 5,196.48 = 2,086.97 : x
  2. Step 2: Convert to fraction form
    3,765.54/5,196.48 = 2,086.97/x
  3. Step 3: Cross multiply
    3,765.54x = 5,196.48 × 2,086.97
  4. Step 4: Simplify right side
    3,765.54x = 10,844,918.68
  5. Step 5: Solve for x
    x = 10,844,918.68/3,765.54
  6. Step 6: Final answer
    x = 2,880.05

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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.