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Finding the Fourth Proportional to 5,185.73, 7,156.21 and 2,827.89

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Solution

The fourth proportional to 5,185.73, 7,156.21 and 2,827.89 is: 3,902.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.73 : 7,156.21 = 2,827.89 : x
  2. Step 2: Convert to fraction form
    5,185.73/7,156.21 = 2,827.89/x
  3. Step 3: Cross multiply
    5,185.73x = 7,156.21 × 2,827.89
  4. Step 4: Simplify right side
    5,185.73x = 20,236,974.70
  5. Step 5: Solve for x
    x = 20,236,974.70/5,185.73
  6. Step 6: Final answer
    x = 3,902.44

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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.