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Finding the Fourth Proportional to 3,765.37, 5,196.07 and 2,086.81

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Solution

The fourth proportional to 3,765.37, 5,196.07 and 2,086.81 is: 2,879.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.37 : 5,196.07 = 2,086.81 : x
  2. Step 2: Convert to fraction form
    3,765.37/5,196.07 = 2,086.81/x
  3. Step 3: Cross multiply
    3,765.37x = 5,196.07 × 2,086.81
  4. Step 4: Simplify right side
    3,765.37x = 10,843,213.63
  5. Step 5: Solve for x
    x = 10,843,213.63/3,765.37
  6. Step 6: Final answer
    x = 2,879.72

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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.