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Finding the Fourth Proportional to 3,853.80, 5,772.60 and 3,028.14

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Solution

The fourth proportional to 3,853.80, 5,772.60 and 3,028.14 is: 4,535.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.80 : 5,772.60 = 3,028.14 : x
  2. Step 2: Convert to fraction form
    3,853.80/5,772.60 = 3,028.14/x
  3. Step 3: Cross multiply
    3,853.80x = 5,772.60 × 3,028.14
  4. Step 4: Simplify right side
    3,853.80x = 17,480,240.96
  5. Step 5: Solve for x
    x = 17,480,240.96/3,853.80
  6. Step 6: Final answer
    x = 4,535.85

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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.