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Finding the Fourth Proportional to 3,456.30, 4,770.74 and 3,279.99

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Solution

The fourth proportional to 3,456.30, 4,770.74 and 3,279.99 is: 4,527.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.30 : 4,770.74 = 3,279.99 : x
  2. Step 2: Convert to fraction form
    3,456.30/4,770.74 = 3,279.99/x
  3. Step 3: Cross multiply
    3,456.30x = 4,770.74 × 3,279.99
  4. Step 4: Simplify right side
    3,456.30x = 15,647,987.69
  5. Step 5: Solve for x
    x = 15,647,987.69/3,456.30
  6. Step 6: Final answer
    x = 4,527.38

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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.