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Finding the Fourth Proportional to 4,136.92, 6,205.22 and 1,016.93

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Solution

The fourth proportional to 4,136.92, 6,205.22 and 1,016.93 is: 1,525.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.92 : 6,205.22 = 1,016.93 : x
  2. Step 2: Convert to fraction form
    4,136.92/6,205.22 = 1,016.93/x
  3. Step 3: Cross multiply
    4,136.92x = 6,205.22 × 1,016.93
  4. Step 4: Simplify right side
    4,136.92x = 6,310,284.80
  5. Step 5: Solve for x
    x = 6,310,284.80/4,136.92
  6. Step 6: Final answer
    x = 1,525.36

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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.