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Finding the Fourth Proportional to 5,221.68, 7,203.78 and 3,822

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Solution

The fourth proportional to 5,221.68, 7,203.78 and 3,822 is: 5,272.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.68 : 7,203.78 = 3,822 : x
  2. Step 2: Convert to fraction form
    5,221.68/7,203.78 = 3,822/x
  3. Step 3: Cross multiply
    5,221.68x = 7,203.78 × 3,822
  4. Step 4: Simplify right side
    5,221.68x = 27,532,847.16
  5. Step 5: Solve for x
    x = 27,532,847.16/5,221.68
  6. Step 6: Final answer
    x = 5,272.79

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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.