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Finding the Fourth Proportional to 6,340.20, 8,741.34 and 5,201.70

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Solution

The fourth proportional to 6,340.20, 8,741.34 and 5,201.70 is: 7,171.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.20 : 8,741.34 = 5,201.70 : x
  2. Step 2: Convert to fraction form
    6,340.20/8,741.34 = 5,201.70/x
  3. Step 3: Cross multiply
    6,340.20x = 8,741.34 × 5,201.70
  4. Step 4: Simplify right side
    6,340.20x = 45,469,828.28
  5. Step 5: Solve for x
    x = 45,469,828.28/6,340.20
  6. Step 6: Final answer
    x = 7,171.67

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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.