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Finding the Fourth Proportional to 5,589.28, 7,713.28 and 3,105.28

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Solution

The fourth proportional to 5,589.28, 7,713.28 and 3,105.28 is: 4,285.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.28 : 7,713.28 = 3,105.28 : x
  2. Step 2: Convert to fraction form
    5,589.28/7,713.28 = 3,105.28/x
  3. Step 3: Cross multiply
    5,589.28x = 7,713.28 × 3,105.28
  4. Step 4: Simplify right side
    5,589.28x = 23,951,894.12
  5. Step 5: Solve for x
    x = 23,951,894.12/5,589.28
  6. Step 6: Final answer
    x = 4,285.33

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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.