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Finding the Fourth Proportional to 3,328.72, 4,993.10 and 863.37

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Solution

The fourth proportional to 3,328.72, 4,993.10 and 863.37 is: 1,295.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,328.72 : 4,993.10 = 863.37 : x
  2. Step 2: Convert to fraction form
    3,328.72/4,993.10 = 863.37/x
  3. Step 3: Cross multiply
    3,328.72x = 4,993.10 × 863.37
  4. Step 4: Simplify right side
    3,328.72x = 4,310,892.75
  5. Step 5: Solve for x
    x = 4,310,892.75/3,328.72
  6. Step 6: Final answer
    x = 1,295.06

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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.