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Finding the Fourth Proportional to 5,136.30, 7,692.30 and 3,483.90

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Solution

The fourth proportional to 5,136.30, 7,692.30 and 3,483.90 is: 5,217.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.30 : 7,692.30 = 3,483.90 : x
  2. Step 2: Convert to fraction form
    5,136.30/7,692.30 = 3,483.90/x
  3. Step 3: Cross multiply
    5,136.30x = 7,692.30 × 3,483.90
  4. Step 4: Simplify right side
    5,136.30x = 26,799,203.97
  5. Step 5: Solve for x
    x = 26,799,203.97/5,136.30
  6. Step 6: Final answer
    x = 5,217.61

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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.