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Finding the Fourth Proportional to 6,102.46, 8,419.11 and 3,584.65

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Solution

The fourth proportional to 6,102.46, 8,419.11 and 3,584.65 is: 4,945.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.46 : 8,419.11 = 3,584.65 : x
  2. Step 2: Convert to fraction form
    6,102.46/8,419.11 = 3,584.65/x
  3. Step 3: Cross multiply
    6,102.46x = 8,419.11 × 3,584.65
  4. Step 4: Simplify right side
    6,102.46x = 30,179,562.66
  5. Step 5: Solve for x
    x = 30,179,562.66/6,102.46
  6. Step 6: Final answer
    x = 4,945.47

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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.