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Finding the Fourth Proportional to 5,982.96, 8,245.92 and 5,705.88

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Solution

The fourth proportional to 5,982.96, 8,245.92 and 5,705.88 is: 7,864.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982.96 : 8,245.92 = 5,705.88 : x
  2. Step 2: Convert to fraction form
    5,982.96/8,245.92 = 5,705.88/x
  3. Step 3: Cross multiply
    5,982.96x = 8,245.92 × 5,705.88
  4. Step 4: Simplify right side
    5,982.96x = 47,050,230.01
  5. Step 5: Solve for x
    x = 47,050,230.01/5,982.96
  6. Step 6: Final answer
    x = 7,864.04

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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.