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Finding the Fourth Proportional to 3,796.68, 5,700.32 and 1,949.36

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Solution

The fourth proportional to 3,796.68, 5,700.32 and 1,949.36 is: 2,926.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.68 : 5,700.32 = 1,949.36 : x
  2. Step 2: Convert to fraction form
    3,796.68/5,700.32 = 1,949.36/x
  3. Step 3: Cross multiply
    3,796.68x = 5,700.32 × 1,949.36
  4. Step 4: Simplify right side
    3,796.68x = 11,111,975.80
  5. Step 5: Solve for x
    x = 11,111,975.80/3,796.68
  6. Step 6: Final answer
    x = 2,926.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.