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Finding the Fourth Proportional to 4,457.68, 6,684.27 and 2,609.41

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Solution

The fourth proportional to 4,457.68, 6,684.27 and 2,609.41 is: 3,912.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,457.68 : 6,684.27 = 2,609.41 : x
  2. Step 2: Convert to fraction form
    4,457.68/6,684.27 = 2,609.41/x
  3. Step 3: Cross multiply
    4,457.68x = 6,684.27 × 2,609.41
  4. Step 4: Simplify right side
    4,457.68x = 17,442,000.98
  5. Step 5: Solve for x
    x = 17,442,000.98/4,457.68
  6. Step 6: Final answer
    x = 3,912.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.