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Finding the Fourth Proportional to 6,289.67, 8,679.74 and 3,457.23

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Solution

The fourth proportional to 6,289.67, 8,679.74 and 3,457.23 is: 4,770.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.67 : 8,679.74 = 3,457.23 : x
  2. Step 2: Convert to fraction form
    6,289.67/8,679.74 = 3,457.23/x
  3. Step 3: Cross multiply
    6,289.67x = 8,679.74 × 3,457.23
  4. Step 4: Simplify right side
    6,289.67x = 30,007,796.84
  5. Step 5: Solve for x
    x = 30,007,796.84/6,289.67
  6. Step 6: Final answer
    x = 4,770.97

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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.