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Finding the Fourth Proportional to 5,524.68, 7,624.09 and 3,006.81

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Solution

The fourth proportional to 5,524.68, 7,624.09 and 3,006.81 is: 4,149.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,524.68 : 7,624.09 = 3,006.81 : x
  2. Step 2: Convert to fraction form
    5,524.68/7,624.09 = 3,006.81/x
  3. Step 3: Cross multiply
    5,524.68x = 7,624.09 × 3,006.81
  4. Step 4: Simplify right side
    5,524.68x = 22,924,190.05
  5. Step 5: Solve for x
    x = 22,924,190.05/5,524.68
  6. Step 6: Final answer
    x = 4,149.41

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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.