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Finding the Fourth Proportional to 5,834.76, 8,755.47 and 2,136.50

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Solution

The fourth proportional to 5,834.76, 8,755.47 and 2,136.50 is: 3,205.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.76 : 8,755.47 = 2,136.50 : x
  2. Step 2: Convert to fraction form
    5,834.76/8,755.47 = 2,136.50/x
  3. Step 3: Cross multiply
    5,834.76x = 8,755.47 × 2,136.50
  4. Step 4: Simplify right side
    5,834.76x = 18,706,061.66
  5. Step 5: Solve for x
    x = 18,706,061.66/5,834.76
  6. Step 6: Final answer
    x = 3,205.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.