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Finding the Fourth Proportional to 3,879.36, 5,812.56 and 1,684.80

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Solution

The fourth proportional to 3,879.36, 5,812.56 and 1,684.80 is: 2,524.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.36 : 5,812.56 = 1,684.80 : x
  2. Step 2: Convert to fraction form
    3,879.36/5,812.56 = 1,684.80/x
  3. Step 3: Cross multiply
    3,879.36x = 5,812.56 × 1,684.80
  4. Step 4: Simplify right side
    3,879.36x = 9,793,001.09
  5. Step 5: Solve for x
    x = 9,793,001.09/3,879.36
  6. Step 6: Final answer
    x = 2,524.39

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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.