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Finding the Fourth Proportional to 5,834.34, 8,750.01 and 2,136.90

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Solution

The fourth proportional to 5,834.34, 8,750.01 and 2,136.90 is: 3,204.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.34 : 8,750.01 = 2,136.90 : x
  2. Step 2: Convert to fraction form
    5,834.34/8,750.01 = 2,136.90/x
  3. Step 3: Cross multiply
    5,834.34x = 8,750.01 × 2,136.90
  4. Step 4: Simplify right side
    5,834.34x = 18,697,896.37
  5. Step 5: Solve for x
    x = 18,697,896.37/5,834.34
  6. Step 6: Final answer
    x = 3,204.80

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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.