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Finding the Fourth Proportional to 3,879.28, 5,820 and 2,149.12

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Solution

The fourth proportional to 3,879.28, 5,820 and 2,149.12 is: 3,224.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.28 : 5,820 = 2,149.12 : x
  2. Step 2: Convert to fraction form
    3,879.28/5,820 = 2,149.12/x
  3. Step 3: Cross multiply
    3,879.28x = 5,820 × 2,149.12
  4. Step 4: Simplify right side
    3,879.28x = 12,507,878.40
  5. Step 5: Solve for x
    x = 12,507,878.40/3,879.28
  6. Step 6: Final answer
    x = 3,224.28

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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.