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Finding the Fourth Proportional to 5,879.25, 8,114.49 and 3,489.75

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Solution

The fourth proportional to 5,879.25, 8,114.49 and 3,489.75 is: 4,816.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,879.25 : 8,114.49 = 3,489.75 : x
  2. Step 2: Convert to fraction form
    5,879.25/8,114.49 = 3,489.75/x
  3. Step 3: Cross multiply
    5,879.25x = 8,114.49 × 3,489.75
  4. Step 4: Simplify right side
    5,879.25x = 28,317,541.48
  5. Step 5: Solve for x
    x = 28,317,541.48/5,879.25
  6. Step 6: Final answer
    x = 4,816.52

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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.