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Finding the Fourth Proportional to 4,825, 7,227.82 and 2,224.36

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Solution

The fourth proportional to 4,825, 7,227.82 and 2,224.36 is: 3,332.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,825 : 7,227.82 = 2,224.36 : x
  2. Step 2: Convert to fraction form
    4,825/7,227.82 = 2,224.36/x
  3. Step 3: Cross multiply
    4,825x = 7,227.82 × 2,224.36
  4. Step 4: Simplify right side
    4,825x = 16,077,273.70
  5. Step 5: Solve for x
    x = 16,077,273.70/4,825
  6. Step 6: Final answer
    x = 3,332.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.