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Finding the Fourth Proportional to 5,977.80, 8,949.17 and 4,192.67

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Solution

The fourth proportional to 5,977.80, 8,949.17 and 4,192.67 is: 6,276.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.80 : 8,949.17 = 4,192.67 : x
  2. Step 2: Convert to fraction form
    5,977.80/8,949.17 = 4,192.67/x
  3. Step 3: Cross multiply
    5,977.80x = 8,949.17 × 4,192.67
  4. Step 4: Simplify right side
    5,977.80x = 37,520,850.87
  5. Step 5: Solve for x
    x = 37,520,850.87/5,977.80
  6. Step 6: Final answer
    x = 6,276.70

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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.