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Finding the Fourth Proportional to 5,575.50, 7,694.13 and 3,057.68

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Solution

The fourth proportional to 5,575.50, 7,694.13 and 3,057.68 is: 4,219.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,575.50 : 7,694.13 = 3,057.68 : x
  2. Step 2: Convert to fraction form
    5,575.50/7,694.13 = 3,057.68/x
  3. Step 3: Cross multiply
    5,575.50x = 7,694.13 × 3,057.68
  4. Step 4: Simplify right side
    5,575.50x = 23,526,148.95
  5. Step 5: Solve for x
    x = 23,526,148.95/5,575.50
  6. Step 6: Final answer
    x = 4,219.56

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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.