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Finding the Fourth Proportional to 5,305.78, 7,936.56 and 4,912.12

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Solution

The fourth proportional to 5,305.78, 7,936.56 and 4,912.12 is: 7,347.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.78 : 7,936.56 = 4,912.12 : x
  2. Step 2: Convert to fraction form
    5,305.78/7,936.56 = 4,912.12/x
  3. Step 3: Cross multiply
    5,305.78x = 7,936.56 × 4,912.12
  4. Step 4: Simplify right side
    5,305.78x = 38,985,335.11
  5. Step 5: Solve for x
    x = 38,985,335.11/5,305.78
  6. Step 6: Final answer
    x = 7,347.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.