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Finding the Fourth Proportional to 3,790.36, 5,682.28 and 1,839.88

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Solution

The fourth proportional to 3,790.36, 5,682.28 and 1,839.88 is: 2,758.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.36 : 5,682.28 = 1,839.88 : x
  2. Step 2: Convert to fraction form
    3,790.36/5,682.28 = 1,839.88/x
  3. Step 3: Cross multiply
    3,790.36x = 5,682.28 × 1,839.88
  4. Step 4: Simplify right side
    3,790.36x = 10,454,713.33
  5. Step 5: Solve for x
    x = 10,454,713.33/3,790.36
  6. Step 6: Final answer
    x = 2,758.24

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