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Finding the Fourth Proportional to 4,761.28, 6,568.72 and 3,269.28

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Solution

The fourth proportional to 4,761.28, 6,568.72 and 3,269.28 is: 4,510.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.28 : 6,568.72 = 3,269.28 : x
  2. Step 2: Convert to fraction form
    4,761.28/6,568.72 = 3,269.28/x
  3. Step 3: Cross multiply
    4,761.28x = 6,568.72 × 3,269.28
  4. Step 4: Simplify right side
    4,761.28x = 21,474,984.92
  5. Step 5: Solve for x
    x = 21,474,984.92/4,761.28
  6. Step 6: Final answer
    x = 4,510.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.