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Finding the Fourth Proportional to 3,902.30, 5,385.02 and 2,133.94

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Solution

The fourth proportional to 3,902.30, 5,385.02 and 2,133.94 is: 2,944.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.30 : 5,385.02 = 2,133.94 : x
  2. Step 2: Convert to fraction form
    3,902.30/5,385.02 = 2,133.94/x
  3. Step 3: Cross multiply
    3,902.30x = 5,385.02 × 2,133.94
  4. Step 4: Simplify right side
    3,902.30x = 11,491,309.58
  5. Step 5: Solve for x
    x = 11,491,309.58/3,902.30
  6. Step 6: Final answer
    x = 2,944.75

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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.