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Finding the Fourth Proportional to 6,328.49, 8,732.67 and 3,676.46

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Solution

The fourth proportional to 6,328.49, 8,732.67 and 3,676.46 is: 5,073.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.49 : 8,732.67 = 3,676.46 : x
  2. Step 2: Convert to fraction form
    6,328.49/8,732.67 = 3,676.46/x
  3. Step 3: Cross multiply
    6,328.49x = 8,732.67 × 3,676.46
  4. Step 4: Simplify right side
    6,328.49x = 32,105,311.95
  5. Step 5: Solve for x
    x = 32,105,311.95/6,328.49
  6. Step 6: Final answer
    x = 5,073.14

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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.