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Finding the Fourth Proportional to 5,282.82, 7,290.27 and 2,892.80

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Solution

The fourth proportional to 5,282.82, 7,290.27 and 2,892.80 is: 3,992.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,282.82 : 7,290.27 = 2,892.80 : x
  2. Step 2: Convert to fraction form
    5,282.82/7,290.27 = 2,892.80/x
  3. Step 3: Cross multiply
    5,282.82x = 7,290.27 × 2,892.80
  4. Step 4: Simplify right side
    5,282.82x = 21,089,311.28
  5. Step 5: Solve for x
    x = 21,089,311.28/5,282.82
  6. Step 6: Final answer
    x = 3,992.06

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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.