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Finding the Fourth Proportional to 5,214.62, 7,821 and 2,581.28

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Solution

The fourth proportional to 5,214.62, 7,821 and 2,581.28 is: 3,871.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.62 : 7,821 = 2,581.28 : x
  2. Step 2: Convert to fraction form
    5,214.62/7,821 = 2,581.28/x
  3. Step 3: Cross multiply
    5,214.62x = 7,821 × 2,581.28
  4. Step 4: Simplify right side
    5,214.62x = 20,188,190.88
  5. Step 5: Solve for x
    x = 20,188,190.88/5,214.62
  6. Step 6: Final answer
    x = 3,871.46

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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.