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Finding the Fourth Proportional to 5,136.75, 7,706.34 and 1,674

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Solution

The fourth proportional to 5,136.75, 7,706.34 and 1,674 is: 2,511.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.75 : 7,706.34 = 1,674 : x
  2. Step 2: Convert to fraction form
    5,136.75/7,706.34 = 1,674/x
  3. Step 3: Cross multiply
    5,136.75x = 7,706.34 × 1,674
  4. Step 4: Simplify right side
    5,136.75x = 12,900,413.16
  5. Step 5: Solve for x
    x = 12,900,413.16/5,136.75
  6. Step 6: Final answer
    x = 2,511.40

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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.