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Finding the Fourth Proportional to 3,840.45, 5,299.41 and 2,161.71

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Solution

The fourth proportional to 3,840.45, 5,299.41 and 2,161.71 is: 2,982.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.45 : 5,299.41 = 2,161.71 : x
  2. Step 2: Convert to fraction form
    3,840.45/5,299.41 = 2,161.71/x
  3. Step 3: Cross multiply
    3,840.45x = 5,299.41 × 2,161.71
  4. Step 4: Simplify right side
    3,840.45x = 11,455,787.59
  5. Step 5: Solve for x
    x = 11,455,787.59/3,840.45
  6. Step 6: Final answer
    x = 2,982.93

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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.