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Finding the Fourth Proportional to 3,942.88, 5,434.60 and 3,383.92

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Solution

The fourth proportional to 3,942.88, 5,434.60 and 3,383.92 is: 4,664.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.88 : 5,434.60 = 3,383.92 : x
  2. Step 2: Convert to fraction form
    3,942.88/5,434.60 = 3,383.92/x
  3. Step 3: Cross multiply
    3,942.88x = 5,434.60 × 3,383.92
  4. Step 4: Simplify right side
    3,942.88x = 18,390,251.63
  5. Step 5: Solve for x
    x = 18,390,251.63/3,942.88
  6. Step 6: Final answer
    x = 4,664.17

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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.