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Finding the Fourth Proportional to 3,765.35, 5,195.67 and 2,086.35

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Solution

The fourth proportional to 3,765.35, 5,195.67 and 2,086.35 is: 2,878.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.35 : 5,195.67 = 2,086.35 : x
  2. Step 2: Convert to fraction form
    3,765.35/5,195.67 = 2,086.35/x
  3. Step 3: Cross multiply
    3,765.35x = 5,195.67 × 2,086.35
  4. Step 4: Simplify right side
    3,765.35x = 10,839,986.10
  5. Step 5: Solve for x
    x = 10,839,986.10/3,765.35
  6. Step 6: Final answer
    x = 2,878.88

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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.