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Finding the Fourth Proportional to 6,136.08, 8,468.40 and 3,745.92

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Solution

The fourth proportional to 6,136.08, 8,468.40 and 3,745.92 is: 5,169.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.08 : 8,468.40 = 3,745.92 : x
  2. Step 2: Convert to fraction form
    6,136.08/8,468.40 = 3,745.92/x
  3. Step 3: Cross multiply
    6,136.08x = 8,468.40 × 3,745.92
  4. Step 4: Simplify right side
    6,136.08x = 31,721,948.93
  5. Step 5: Solve for x
    x = 31,721,948.93/6,136.08
  6. Step 6: Final answer
    x = 5,169.74

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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.