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Finding the Fourth Proportional to 5,814.36, 8,023.74 and 3,825.99

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Solution

The fourth proportional to 5,814.36, 8,023.74 and 3,825.99 is: 5,279.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.36 : 8,023.74 = 3,825.99 : x
  2. Step 2: Convert to fraction form
    5,814.36/8,023.74 = 3,825.99/x
  3. Step 3: Cross multiply
    5,814.36x = 8,023.74 × 3,825.99
  4. Step 4: Simplify right side
    5,814.36x = 30,698,749.00
  5. Step 5: Solve for x
    x = 30,698,749.00/5,814.36
  6. Step 6: Final answer
    x = 5,279.82

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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.