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Finding the Fourth Proportional to 5,424.96, 8,136.56 and 3,860.24

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Solution

The fourth proportional to 5,424.96, 8,136.56 and 3,860.24 is: 5,789.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,424.96 : 8,136.56 = 3,860.24 : x
  2. Step 2: Convert to fraction form
    5,424.96/8,136.56 = 3,860.24/x
  3. Step 3: Cross multiply
    5,424.96x = 8,136.56 × 3,860.24
  4. Step 4: Simplify right side
    5,424.96x = 31,409,074.37
  5. Step 5: Solve for x
    x = 31,409,074.37/5,424.96
  6. Step 6: Final answer
    x = 5,789.73

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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.