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Finding the Fourth Proportional to 5,209.29, 7,188.77 and 2,819.21

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Solution

The fourth proportional to 5,209.29, 7,188.77 and 2,819.21 is: 3,890.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.29 : 7,188.77 = 2,819.21 : x
  2. Step 2: Convert to fraction form
    5,209.29/7,188.77 = 2,819.21/x
  3. Step 3: Cross multiply
    5,209.29x = 7,188.77 × 2,819.21
  4. Step 4: Simplify right side
    5,209.29x = 20,266,652.27
  5. Step 5: Solve for x
    x = 20,266,652.27/5,209.29
  6. Step 6: Final answer
    x = 3,890.48

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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.