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Finding the Fourth Proportional to 4,879.50, 6,734.24 and 3,202.26

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Solution

The fourth proportional to 4,879.50, 6,734.24 and 3,202.26 is: 4,419.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,879.50 : 6,734.24 = 3,202.26 : x
  2. Step 2: Convert to fraction form
    4,879.50/6,734.24 = 3,202.26/x
  3. Step 3: Cross multiply
    4,879.50x = 6,734.24 × 3,202.26
  4. Step 4: Simplify right side
    4,879.50x = 21,564,787.38
  5. Step 5: Solve for x
    x = 21,564,787.38/4,879.50
  6. Step 6: Final answer
    x = 4,419.47

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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.