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Finding the Fourth Proportional to 5,824.00, 8,027.75 and 3,934.99

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Solution

The fourth proportional to 5,824.00, 8,027.75 and 3,934.99 is: 5,423.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.00 : 8,027.75 = 3,934.99 : x
  2. Step 2: Convert to fraction form
    5,824.00/8,027.75 = 3,934.99/x
  3. Step 3: Cross multiply
    5,824.00x = 8,027.75 × 3,934.99
  4. Step 4: Simplify right side
    5,824.00x = 31,589,105.74
  5. Step 5: Solve for x
    x = 31,589,105.74/5,824.00
  6. Step 6: Final answer
    x = 5,423.96

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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.