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Finding the Fourth Proportional to 6,228, 8,595.25 and 3,433.50

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Solution

The fourth proportional to 6,228, 8,595.25 and 3,433.50 is: 4,738.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,228 : 8,595.25 = 3,433.50 : x
  2. Step 2: Convert to fraction form
    6,228/8,595.25 = 3,433.50/x
  3. Step 3: Cross multiply
    6,228x = 8,595.25 × 3,433.50
  4. Step 4: Simplify right side
    6,228x = 29,511,782.29
  5. Step 5: Solve for x
    x = 29,511,782.29/6,228
  6. Step 6: Final answer
    x = 4,738.56

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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.