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Finding the Fourth Proportional to 4,199.87, 5,796.29 and 2,311.61

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Solution

The fourth proportional to 4,199.87, 5,796.29 and 2,311.61 is: 3,190.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.87 : 5,796.29 = 2,311.61 : x
  2. Step 2: Convert to fraction form
    4,199.87/5,796.29 = 2,311.61/x
  3. Step 3: Cross multiply
    4,199.87x = 5,796.29 × 2,311.61
  4. Step 4: Simplify right side
    4,199.87x = 13,398,721.39
  5. Step 5: Solve for x
    x = 13,398,721.39/4,199.87
  6. Step 6: Final answer
    x = 3,190.27

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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.