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Finding the Fourth Proportional to 4,457.81, 6,684.46 and 2,609.48

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Solution

The fourth proportional to 4,457.81, 6,684.46 and 2,609.48 is: 3,912.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,457.81 : 6,684.46 = 2,609.48 : x
  2. Step 2: Convert to fraction form
    4,457.81/6,684.46 = 2,609.48/x
  3. Step 3: Cross multiply
    4,457.81x = 6,684.46 × 2,609.48
  4. Step 4: Simplify right side
    4,457.81x = 17,442,924.73
  5. Step 5: Solve for x
    x = 17,442,924.73/4,457.81
  6. Step 6: Final answer
    x = 3,912.90

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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.