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Finding the Fourth Proportional to 5,136.33, 7,707.87 and 3,189.90

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Solution

The fourth proportional to 5,136.33, 7,707.87 and 3,189.90 is: 4,786.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.33 : 7,707.87 = 3,189.90 : x
  2. Step 2: Convert to fraction form
    5,136.33/7,707.87 = 3,189.90/x
  3. Step 3: Cross multiply
    5,136.33x = 7,707.87 × 3,189.90
  4. Step 4: Simplify right side
    5,136.33x = 24,587,334.51
  5. Step 5: Solve for x
    x = 24,587,334.51/5,136.33
  6. Step 6: Final answer
    x = 4,786.95

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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.