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Finding the Fourth Proportional to 3,902.37, 5,385.27 and 2,133.97

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Solution

The fourth proportional to 3,902.37, 5,385.27 and 2,133.97 is: 2,944.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.37 : 5,385.27 = 2,133.97 : x
  2. Step 2: Convert to fraction form
    3,902.37/5,385.27 = 2,133.97/x
  3. Step 3: Cross multiply
    3,902.37x = 5,385.27 × 2,133.97
  4. Step 4: Simplify right side
    3,902.37x = 11,492,004.62
  5. Step 5: Solve for x
    x = 11,492,004.62/3,902.37
  6. Step 6: Final answer
    x = 2,944.88

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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.