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Finding the Fourth Proportional to 5,816, 8,727.84 and 2,738.24

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Solution

The fourth proportional to 5,816, 8,727.84 and 2,738.24 is: 4,109.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,816 : 8,727.84 = 2,738.24 : x
  2. Step 2: Convert to fraction form
    5,816/8,727.84 = 2,738.24/x
  3. Step 3: Cross multiply
    5,816x = 8,727.84 × 2,738.24
  4. Step 4: Simplify right side
    5,816x = 23,898,920.60
  5. Step 5: Solve for x
    x = 23,898,920.60/5,816
  6. Step 6: Final answer
    x = 4,109.17

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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.