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Finding the Fourth Proportional to 5,180.90, 7,149.83 and 2,823.21

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Solution

The fourth proportional to 5,180.90, 7,149.83 and 2,823.21 is: 3,896.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.90 : 7,149.83 = 2,823.21 : x
  2. Step 2: Convert to fraction form
    5,180.90/7,149.83 = 2,823.21/x
  3. Step 3: Cross multiply
    5,180.90x = 7,149.83 × 2,823.21
  4. Step 4: Simplify right side
    5,180.90x = 20,185,457.44
  5. Step 5: Solve for x
    x = 20,185,457.44/5,180.90
  6. Step 6: Final answer
    x = 3,896.13

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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.