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Finding the Fourth Proportional to 5,136.69, 7,697.57 and 4,091.97

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Solution

The fourth proportional to 5,136.69, 7,697.57 and 4,091.97 is: 6,132.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.69 : 7,697.57 = 4,091.97 : x
  2. Step 2: Convert to fraction form
    5,136.69/7,697.57 = 4,091.97/x
  3. Step 3: Cross multiply
    5,136.69x = 7,697.57 × 4,091.97
  4. Step 4: Simplify right side
    5,136.69x = 31,498,205.05
  5. Step 5: Solve for x
    x = 31,498,205.05/5,136.69
  6. Step 6: Final answer
    x = 6,132.00

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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.