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Finding the Fourth Proportional to 2,786.28, 3,795.95 and 2,729.36

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Solution

The fourth proportional to 2,786.28, 3,795.95 and 2,729.36 is: 3,718.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.28 : 3,795.95 = 2,729.36 : x
  2. Step 2: Convert to fraction form
    2,786.28/3,795.95 = 2,729.36/x
  3. Step 3: Cross multiply
    2,786.28x = 3,795.95 × 2,729.36
  4. Step 4: Simplify right side
    2,786.28x = 10,360,481.47
  5. Step 5: Solve for x
    x = 10,360,481.47/2,786.28
  6. Step 6: Final answer
    x = 3,718.39

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.