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Finding the Fourth Proportional to 3,896.49, 5,847.48 and 1,705.89

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Solution

The fourth proportional to 3,896.49, 5,847.48 and 1,705.89 is: 2,560.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.49 : 5,847.48 = 1,705.89 : x
  2. Step 2: Convert to fraction form
    3,896.49/5,847.48 = 1,705.89/x
  3. Step 3: Cross multiply
    3,896.49x = 5,847.48 × 1,705.89
  4. Step 4: Simplify right side
    3,896.49x = 9,975,157.66
  5. Step 5: Solve for x
    x = 9,975,157.66/3,896.49
  6. Step 6: Final answer
    x = 2,560.04

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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.