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Finding the Fourth Proportional to 5,814.82, 8,024.40 and 3,162.25

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Solution

The fourth proportional to 5,814.82, 8,024.40 and 3,162.25 is: 4,363.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.82 : 8,024.40 = 3,162.25 : x
  2. Step 2: Convert to fraction form
    5,814.82/8,024.40 = 3,162.25/x
  3. Step 3: Cross multiply
    5,814.82x = 8,024.40 × 3,162.25
  4. Step 4: Simplify right side
    5,814.82x = 25,375,158.90
  5. Step 5: Solve for x
    x = 25,375,158.90/5,814.82
  6. Step 6: Final answer
    x = 4,363.88

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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.