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Finding the Fourth Proportional to 3,840.60, 5,300.15 and 2,161.97

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Solution

The fourth proportional to 3,840.60, 5,300.15 and 2,161.97 is: 2,983.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.60 : 5,300.15 = 2,161.97 : x
  2. Step 2: Convert to fraction form
    3,840.60/5,300.15 = 2,161.97/x
  3. Step 3: Cross multiply
    3,840.60x = 5,300.15 × 2,161.97
  4. Step 4: Simplify right side
    3,840.60x = 11,458,765.30
  5. Step 5: Solve for x
    x = 11,458,765.30/3,840.60
  6. Step 6: Final answer
    x = 2,983.59

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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.