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Finding the Fourth Proportional to 4,694.99, 6,481.41 and 2,927.15

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Solution

The fourth proportional to 4,694.99, 6,481.41 and 2,927.15 is: 4,040.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.99 : 6,481.41 = 2,927.15 : x
  2. Step 2: Convert to fraction form
    4,694.99/6,481.41 = 2,927.15/x
  3. Step 3: Cross multiply
    4,694.99x = 6,481.41 × 2,927.15
  4. Step 4: Simplify right side
    4,694.99x = 18,972,059.28
  5. Step 5: Solve for x
    x = 18,972,059.28/4,694.99
  6. Step 6: Final answer
    x = 4,040.92

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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.