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Finding the Fourth Proportional to 5,066.87, 6,991.56 and 2,828.43

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Solution

The fourth proportional to 5,066.87, 6,991.56 and 2,828.43 is: 3,902.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,066.87 : 6,991.56 = 2,828.43 : x
  2. Step 2: Convert to fraction form
    5,066.87/6,991.56 = 2,828.43/x
  3. Step 3: Cross multiply
    5,066.87x = 6,991.56 × 2,828.43
  4. Step 4: Simplify right side
    5,066.87x = 19,775,138.05
  5. Step 5: Solve for x
    x = 19,775,138.05/5,066.87
  6. Step 6: Final answer
    x = 3,902.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.