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Finding the Fourth Proportional to 3,896.22, 5,376.30 and 2,324

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Solution

The fourth proportional to 3,896.22, 5,376.30 and 2,324 is: 3,206.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.22 : 5,376.30 = 2,324 : x
  2. Step 2: Convert to fraction form
    3,896.22/5,376.30 = 2,324/x
  3. Step 3: Cross multiply
    3,896.22x = 5,376.30 × 2,324
  4. Step 4: Simplify right side
    3,896.22x = 12,494,521.20
  5. Step 5: Solve for x
    x = 12,494,521.20/3,896.22
  6. Step 6: Final answer
    x = 3,206.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.