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Finding the Fourth Proportional to 5,215.82, 7,197.83 and 2,825.81

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Solution

The fourth proportional to 5,215.82, 7,197.83 and 2,825.81 is: 3,899.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.82 : 7,197.83 = 2,825.81 : x
  2. Step 2: Convert to fraction form
    5,215.82/7,197.83 = 2,825.81/x
  3. Step 3: Cross multiply
    5,215.82x = 7,197.83 × 2,825.81
  4. Step 4: Simplify right side
    5,215.82x = 20,339,649.87
  5. Step 5: Solve for x
    x = 20,339,649.87/5,215.82
  6. Step 6: Final answer
    x = 3,899.61

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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.