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Finding the Fourth Proportional to 5,089, 7,022.82 and 2,881

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Solution

The fourth proportional to 5,089, 7,022.82 and 2,881 is: 3,975.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,089 : 7,022.82 = 2,881 : x
  2. Step 2: Convert to fraction form
    5,089/7,022.82 = 2,881/x
  3. Step 3: Cross multiply
    5,089x = 7,022.82 × 2,881
  4. Step 4: Simplify right side
    5,089x = 20,232,744.42
  5. Step 5: Solve for x
    x = 20,232,744.42/5,089
  6. Step 6: Final answer
    x = 3,975.78

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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.