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Finding the Fourth Proportional to 3,908.20, 5,429.59 and 3,872.20

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Solution

The fourth proportional to 3,908.20, 5,429.59 and 3,872.20 is: 5,379.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.20 : 5,429.59 = 3,872.20 : x
  2. Step 2: Convert to fraction form
    3,908.20/5,429.59 = 3,872.20/x
  3. Step 3: Cross multiply
    3,908.20x = 5,429.59 × 3,872.20
  4. Step 4: Simplify right side
    3,908.20x = 21,024,458.40
  5. Step 5: Solve for x
    x = 21,024,458.40/3,908.20
  6. Step 6: Final answer
    x = 5,379.58

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.