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Finding the Fourth Proportional to 5,383.22, 8,074.89 and 1,685.30

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Solution

The fourth proportional to 5,383.22, 8,074.89 and 1,685.30 is: 2,527.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,383.22 : 8,074.89 = 1,685.30 : x
  2. Step 2: Convert to fraction form
    5,383.22/8,074.89 = 1,685.30/x
  3. Step 3: Cross multiply
    5,383.22x = 8,074.89 × 1,685.30
  4. Step 4: Simplify right side
    5,383.22x = 13,608,612.12
  5. Step 5: Solve for x
    x = 13,608,612.12/5,383.22
  6. Step 6: Final answer
    x = 2,527.97

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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.