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Finding the Fourth Proportional to 6,128.24, 8,456.94 and 3,610.33

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Solution

The fourth proportional to 6,128.24, 8,456.94 and 3,610.33 is: 4,982.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128.24 : 8,456.94 = 3,610.33 : x
  2. Step 2: Convert to fraction form
    6,128.24/8,456.94 = 3,610.33/x
  3. Step 3: Cross multiply
    6,128.24x = 8,456.94 × 3,610.33
  4. Step 4: Simplify right side
    6,128.24x = 30,532,323.05
  5. Step 5: Solve for x
    x = 30,532,323.05/6,128.24
  6. Step 6: Final answer
    x = 4,982.24

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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.