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Finding the Fourth Proportional to 4,002.54, 5,524.14 and 2,324.22

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Solution

The fourth proportional to 4,002.54, 5,524.14 and 2,324.22 is: 3,207.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.54 : 5,524.14 = 2,324.22 : x
  2. Step 2: Convert to fraction form
    4,002.54/5,524.14 = 2,324.22/x
  3. Step 3: Cross multiply
    4,002.54x = 5,524.14 × 2,324.22
  4. Step 4: Simplify right side
    4,002.54x = 12,839,316.67
  5. Step 5: Solve for x
    x = 12,839,316.67/4,002.54
  6. Step 6: Final answer
    x = 3,207.79

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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.