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Finding the Fourth Proportional to 6,100.83, 8,419.16 and 3,306.33

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Solution

The fourth proportional to 6,100.83, 8,419.16 and 3,306.33 is: 4,562.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.83 : 8,419.16 = 3,306.33 : x
  2. Step 2: Convert to fraction form
    6,100.83/8,419.16 = 3,306.33/x
  3. Step 3: Cross multiply
    6,100.83x = 8,419.16 × 3,306.33
  4. Step 4: Simplify right side
    6,100.83x = 27,836,504.75
  5. Step 5: Solve for x
    x = 27,836,504.75/6,100.83
  6. Step 6: Final answer
    x = 4,562.74

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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.