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Finding the Fourth Proportional to 5,299.82, 7,951.98 and 2,834

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Solution

The fourth proportional to 5,299.82, 7,951.98 and 2,834 is: 4,252.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.82 : 7,951.98 = 2,834 : x
  2. Step 2: Convert to fraction form
    5,299.82/7,951.98 = 2,834/x
  3. Step 3: Cross multiply
    5,299.82x = 7,951.98 × 2,834
  4. Step 4: Simplify right side
    5,299.82x = 22,535,911.32
  5. Step 5: Solve for x
    x = 22,535,911.32/5,299.82
  6. Step 6: Final answer
    x = 4,252.20

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Why These Related Problems?

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