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Finding the Fourth Proportional to 5,896.76, 8,847.06 and 2,819

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Solution

The fourth proportional to 5,896.76, 8,847.06 and 2,819 is: 4,229.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.76 : 8,847.06 = 2,819 : x
  2. Step 2: Convert to fraction form
    5,896.76/8,847.06 = 2,819/x
  3. Step 3: Cross multiply
    5,896.76x = 8,847.06 × 2,819
  4. Step 4: Simplify right side
    5,896.76x = 24,939,862.14
  5. Step 5: Solve for x
    x = 24,939,862.14/5,896.76
  6. Step 6: Final answer
    x = 4,229.42

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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.