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Finding the Fourth Proportional to 3,422.69, 5,136.91 and 3,206.69

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Solution

The fourth proportional to 3,422.69, 5,136.91 and 3,206.69 is: 4,812.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.69 : 5,136.91 = 3,206.69 : x
  2. Step 2: Convert to fraction form
    3,422.69/5,136.91 = 3,206.69/x
  3. Step 3: Cross multiply
    3,422.69x = 5,136.91 × 3,206.69
  4. Step 4: Simplify right side
    3,422.69x = 16,472,444.23
  5. Step 5: Solve for x
    x = 16,472,444.23/3,422.69
  6. Step 6: Final answer
    x = 4,812.73

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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.