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Finding the Fourth Proportional to 5,243.96, 7,861.26 and 1,957.21

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Solution

The fourth proportional to 5,243.96, 7,861.26 and 1,957.21 is: 2,934.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.96 : 7,861.26 = 1,957.21 : x
  2. Step 2: Convert to fraction form
    5,243.96/7,861.26 = 1,957.21/x
  3. Step 3: Cross multiply
    5,243.96x = 7,861.26 × 1,957.21
  4. Step 4: Simplify right side
    5,243.96x = 15,386,136.68
  5. Step 5: Solve for x
    x = 15,386,136.68/5,243.96
  6. Step 6: Final answer
    x = 2,934.07

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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.