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Finding the Fourth Proportional to 3,797.68, 5,701.82 and 1,950.36

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Solution

The fourth proportional to 3,797.68, 5,701.82 and 1,950.36 is: 2,928.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.68 : 5,701.82 = 1,950.36 : x
  2. Step 2: Convert to fraction form
    3,797.68/5,701.82 = 1,950.36/x
  3. Step 3: Cross multiply
    3,797.68x = 5,701.82 × 1,950.36
  4. Step 4: Simplify right side
    3,797.68x = 11,120,601.66
  5. Step 5: Solve for x
    x = 11,120,601.66/3,797.68
  6. Step 6: Final answer
    x = 2,928.26

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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.