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Finding the Fourth Proportional to 3,449.28, 4,759.28 and 2,256.02

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Solution

The fourth proportional to 3,449.28, 4,759.28 and 2,256.02 is: 3,112.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.28 : 4,759.28 = 2,256.02 : x
  2. Step 2: Convert to fraction form
    3,449.28/4,759.28 = 2,256.02/x
  3. Step 3: Cross multiply
    3,449.28x = 4,759.28 × 2,256.02
  4. Step 4: Simplify right side
    3,449.28x = 10,737,007.07
  5. Step 5: Solve for x
    x = 10,737,007.07/3,449.28
  6. Step 6: Final answer
    x = 3,112.83

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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.