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Finding the Fourth Proportional to 4,516.43, 6,770.54 and 1,744.94

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Solution

The fourth proportional to 4,516.43, 6,770.54 and 1,744.94 is: 2,615.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,516.43 : 6,770.54 = 1,744.94 : x
  2. Step 2: Convert to fraction form
    4,516.43/6,770.54 = 1,744.94/x
  3. Step 3: Cross multiply
    4,516.43x = 6,770.54 × 1,744.94
  4. Step 4: Simplify right side
    4,516.43x = 11,814,207.36
  5. Step 5: Solve for x
    x = 11,814,207.36/4,516.43
  6. Step 6: Final answer
    x = 2,615.83

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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.