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Finding the Fourth Proportional to 5,796.96, 8,687.76 and 2,713.44

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Solution

The fourth proportional to 5,796.96, 8,687.76 and 2,713.44 is: 4,066.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.96 : 8,687.76 = 2,713.44 : x
  2. Step 2: Convert to fraction form
    5,796.96/8,687.76 = 2,713.44/x
  3. Step 3: Cross multiply
    5,796.96x = 8,687.76 × 2,713.44
  4. Step 4: Simplify right side
    5,796.96x = 23,573,715.49
  5. Step 5: Solve for x
    x = 23,573,715.49/5,796.96
  6. Step 6: Final answer
    x = 4,066.57

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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.