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Finding the Fourth Proportional to 3,839.56, 5,757.66 and 1,206.34

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Solution

The fourth proportional to 3,839.56, 5,757.66 and 1,206.34 is: 1,808.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.56 : 5,757.66 = 1,206.34 : x
  2. Step 2: Convert to fraction form
    3,839.56/5,757.66 = 1,206.34/x
  3. Step 3: Cross multiply
    3,839.56x = 5,757.66 × 1,206.34
  4. Step 4: Simplify right side
    3,839.56x = 6,945,695.56
  5. Step 5: Solve for x
    x = 6,945,695.56/3,839.56
  6. Step 6: Final answer
    x = 1,808.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.