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Finding the Fourth Proportional to 6,326, 8,729.20 and 3,673.96

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Solution

The fourth proportional to 6,326, 8,729.20 and 3,673.96 is: 5,069.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326 : 8,729.20 = 3,673.96 : x
  2. Step 2: Convert to fraction form
    6,326/8,729.20 = 3,673.96/x
  3. Step 3: Cross multiply
    6,326x = 8,729.20 × 3,673.96
  4. Step 4: Simplify right side
    6,326x = 32,070,731.63
  5. Step 5: Solve for x
    x = 32,070,731.63/6,326
  6. Step 6: Final answer
    x = 5,069.67

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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.