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Finding the Fourth Proportional to 3,874.02, 5,350.50 and 3,000.39

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Solution

The fourth proportional to 3,874.02, 5,350.50 and 3,000.39 is: 4,143.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.02 : 5,350.50 = 3,000.39 : x
  2. Step 2: Convert to fraction form
    3,874.02/5,350.50 = 3,000.39/x
  3. Step 3: Cross multiply
    3,874.02x = 5,350.50 × 3,000.39
  4. Step 4: Simplify right side
    3,874.02x = 16,053,586.70
  5. Step 5: Solve for x
    x = 16,053,586.70/3,874.02
  6. Step 6: Final answer
    x = 4,143.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.