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Finding the Fourth Proportional to 5,265, 7,896.43 and 1,932.12

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Solution

The fourth proportional to 5,265, 7,896.43 and 1,932.12 is: 2,897.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265 : 7,896.43 = 1,932.12 : x
  2. Step 2: Convert to fraction form
    5,265/7,896.43 = 1,932.12/x
  3. Step 3: Cross multiply
    5,265x = 7,896.43 × 1,932.12
  4. Step 4: Simplify right side
    5,265x = 15,256,850.33
  5. Step 5: Solve for x
    x = 15,256,850.33/5,265
  6. Step 6: Final answer
    x = 2,897.79

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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.