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Finding the Fourth Proportional to 5,814.34, 8,023.84 and 3,161.74

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Solution

The fourth proportional to 5,814.34, 8,023.84 and 3,161.74 is: 4,363.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.34 : 8,023.84 = 3,161.74 : x
  2. Step 2: Convert to fraction form
    5,814.34/8,023.84 = 3,161.74/x
  3. Step 3: Cross multiply
    5,814.34x = 8,023.84 × 3,161.74
  4. Step 4: Simplify right side
    5,814.34x = 25,369,295.88
  5. Step 5: Solve for x
    x = 25,369,295.88/5,814.34
  6. Step 6: Final answer
    x = 4,363.23

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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.