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Finding the Fourth Proportional to 4,457.62, 6,684.17 and 2,609.29

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Solution

The fourth proportional to 4,457.62, 6,684.17 and 2,609.29 is: 3,912.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,457.62 : 6,684.17 = 2,609.29 : x
  2. Step 2: Convert to fraction form
    4,457.62/6,684.17 = 2,609.29/x
  3. Step 3: Cross multiply
    4,457.62x = 6,684.17 × 2,609.29
  4. Step 4: Simplify right side
    4,457.62x = 17,440,937.94
  5. Step 5: Solve for x
    x = 17,440,937.94/4,457.62
  6. Step 6: Final answer
    x = 3,912.61

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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.