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Finding the Fourth Proportional to 5,224.68, 7,209.42 and 3,825

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Solution

The fourth proportional to 5,224.68, 7,209.42 and 3,825 is: 5,278.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.68 : 7,209.42 = 3,825 : x
  2. Step 2: Convert to fraction form
    5,224.68/7,209.42 = 3,825/x
  3. Step 3: Cross multiply
    5,224.68x = 7,209.42 × 3,825
  4. Step 4: Simplify right side
    5,224.68x = 27,576,031.50
  5. Step 5: Solve for x
    x = 27,576,031.50/5,224.68
  6. Step 6: Final answer
    x = 5,278.03

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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.