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Finding the Fourth Proportional to 5,136.50, 7,702.92 and 2,016.38

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Solution

The fourth proportional to 5,136.50, 7,702.92 and 2,016.38 is: 3,023.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.50 : 7,702.92 = 2,016.38 : x
  2. Step 2: Convert to fraction form
    5,136.50/7,702.92 = 2,016.38/x
  3. Step 3: Cross multiply
    5,136.50x = 7,702.92 × 2,016.38
  4. Step 4: Simplify right side
    5,136.50x = 15,531,975.32
  5. Step 5: Solve for x
    x = 15,531,975.32/5,136.50
  6. Step 6: Final answer
    x = 3,023.85

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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.