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Finding the Fourth Proportional to 5,282.62, 7,924.83 and 2,651.38

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Solution

The fourth proportional to 5,282.62, 7,924.83 and 2,651.38 is: 3,977.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,282.62 : 7,924.83 = 2,651.38 : x
  2. Step 2: Convert to fraction form
    5,282.62/7,924.83 = 2,651.38/x
  3. Step 3: Cross multiply
    5,282.62x = 7,924.83 × 2,651.38
  4. Step 4: Simplify right side
    5,282.62x = 21,011,735.77
  5. Step 5: Solve for x
    x = 21,011,735.77/5,282.62
  6. Step 6: Final answer
    x = 3,977.52

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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.