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Finding the Fourth Proportional to 5,086.90, 7,638.09 and 4,836.31

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Solution

The fourth proportional to 5,086.90, 7,638.09 and 4,836.31 is: 7,261.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,086.90 : 7,638.09 = 4,836.31 : x
  2. Step 2: Convert to fraction form
    5,086.90/7,638.09 = 4,836.31/x
  3. Step 3: Cross multiply
    5,086.90x = 7,638.09 × 4,836.31
  4. Step 4: Simplify right side
    5,086.90x = 36,940,171.05
  5. Step 5: Solve for x
    x = 36,940,171.05/5,086.90
  6. Step 6: Final answer
    x = 7,261.82

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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.