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Finding the Fourth Proportional to 5,819, 8,029.41 and 3,581.24

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Solution

The fourth proportional to 5,819, 8,029.41 and 3,581.24 is: 4,941.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,819 : 8,029.41 = 3,581.24 : x
  2. Step 2: Convert to fraction form
    5,819/8,029.41 = 3,581.24/x
  3. Step 3: Cross multiply
    5,819x = 8,029.41 × 3,581.24
  4. Step 4: Simplify right side
    5,819x = 28,755,244.27
  5. Step 5: Solve for x
    x = 28,755,244.27/5,819
  6. Step 6: Final answer
    x = 4,941.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.