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Finding the Fourth Proportional to 4,477.70, 6,179.22 and 2,709.30

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Solution

The fourth proportional to 4,477.70, 6,179.22 and 2,709.30 is: 3,738.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477.70 : 6,179.22 = 2,709.30 : x
  2. Step 2: Convert to fraction form
    4,477.70/6,179.22 = 2,709.30/x
  3. Step 3: Cross multiply
    4,477.70x = 6,179.22 × 2,709.30
  4. Step 4: Simplify right side
    4,477.70x = 16,741,360.75
  5. Step 5: Solve for x
    x = 16,741,360.75/4,477.70
  6. Step 6: Final answer
    x = 3,738.83

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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.