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Finding the Fourth Proportional to 3,896.84, 5,377.18 and 2,324.63

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Solution

The fourth proportional to 3,896.84, 5,377.18 and 2,324.63 is: 3,207.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.84 : 5,377.18 = 2,324.63 : x
  2. Step 2: Convert to fraction form
    3,896.84/5,377.18 = 2,324.63/x
  3. Step 3: Cross multiply
    3,896.84x = 5,377.18 × 2,324.63
  4. Step 4: Simplify right side
    3,896.84x = 12,499,953.94
  5. Step 5: Solve for x
    x = 12,499,953.94/3,896.84
  6. Step 6: Final answer
    x = 3,207.72

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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.