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Finding the Fourth Proportional to 3,840.37, 5,299.71 and 2,161.87

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Solution

The fourth proportional to 3,840.37, 5,299.71 and 2,161.87 is: 2,983.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.37 : 5,299.71 = 2,161.87 : x
  2. Step 2: Convert to fraction form
    3,840.37/5,299.71 = 2,161.87/x
  3. Step 3: Cross multiply
    3,840.37x = 5,299.71 × 2,161.87
  4. Step 4: Simplify right side
    3,840.37x = 11,457,257.56
  5. Step 5: Solve for x
    x = 11,457,257.56/3,840.37
  6. Step 6: Final answer
    x = 2,983.38

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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.