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Finding the Fourth Proportional to 5,211.82, 7,813.41 and 1,924.30

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Solution

The fourth proportional to 5,211.82, 7,813.41 and 1,924.30 is: 2,884.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211.82 : 7,813.41 = 1,924.30 : x
  2. Step 2: Convert to fraction form
    5,211.82/7,813.41 = 1,924.30/x
  3. Step 3: Cross multiply
    5,211.82x = 7,813.41 × 1,924.30
  4. Step 4: Simplify right side
    5,211.82x = 15,035,344.86
  5. Step 5: Solve for x
    x = 15,035,344.86/5,211.82
  6. Step 6: Final answer
    x = 2,884.85

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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.