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Finding the Fourth Proportional to 6,102.89, 8,419.19 and 3,584.95

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Solution

The fourth proportional to 6,102.89, 8,419.19 and 3,584.95 is: 4,945.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.89 : 8,419.19 = 3,584.95 : x
  2. Step 2: Convert to fraction form
    6,102.89/8,419.19 = 3,584.95/x
  3. Step 3: Cross multiply
    6,102.89x = 8,419.19 × 3,584.95
  4. Step 4: Simplify right side
    6,102.89x = 30,182,375.19
  5. Step 5: Solve for x
    x = 30,182,375.19/6,102.89
  6. Step 6: Final answer
    x = 4,945.59

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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.