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Finding the Fourth Proportional to 4,757.28, 7,129.71 and 2,561.28

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Solution

The fourth proportional to 4,757.28, 7,129.71 and 2,561.28 is: 3,838.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.28 : 7,129.71 = 2,561.28 : x
  2. Step 2: Convert to fraction form
    4,757.28/7,129.71 = 2,561.28/x
  3. Step 3: Cross multiply
    4,757.28x = 7,129.71 × 2,561.28
  4. Step 4: Simplify right side
    4,757.28x = 18,261,183.63
  5. Step 5: Solve for x
    x = 18,261,183.63/4,757.28
  6. Step 6: Final answer
    x = 3,838.58

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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.