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Finding the Fourth Proportional to 5,066.26, 6,990.64 and 2,828.03

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Solution

The fourth proportional to 5,066.26, 6,990.64 and 2,828.03 is: 3,902.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,066.26 : 6,990.64 = 2,828.03 : x
  2. Step 2: Convert to fraction form
    5,066.26/6,990.64 = 2,828.03/x
  3. Step 3: Cross multiply
    5,066.26x = 6,990.64 × 2,828.03
  4. Step 4: Simplify right side
    5,066.26x = 19,769,697.62
  5. Step 5: Solve for x
    x = 19,769,697.62/5,066.26
  6. Step 6: Final answer
    x = 3,902.23

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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.