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Finding the Fourth Proportional to 5,424.70, 8,137.05 and 2,136.00

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Solution

The fourth proportional to 5,424.70, 8,137.05 and 2,136.00 is: 3,203.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,424.70 : 8,137.05 = 2,136.00 : x
  2. Step 2: Convert to fraction form
    5,424.70/8,137.05 = 2,136.00/x
  3. Step 3: Cross multiply
    5,424.70x = 8,137.05 × 2,136.00
  4. Step 4: Simplify right side
    5,424.70x = 17,380,698.11
  5. Step 5: Solve for x
    x = 17,380,698.11/5,424.70
  6. Step 6: Final answer
    x = 3,203.99

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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.