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Finding the Fourth Proportional to 3,259.52, 4,891.72 and 2,028.72

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Solution

The fourth proportional to 3,259.52, 4,891.72 and 2,028.72 is: 3,044.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.52 : 4,891.72 = 2,028.72 : x
  2. Step 2: Convert to fraction form
    3,259.52/4,891.72 = 2,028.72/x
  3. Step 3: Cross multiply
    3,259.52x = 4,891.72 × 2,028.72
  4. Step 4: Simplify right side
    3,259.52x = 9,923,930.20
  5. Step 5: Solve for x
    x = 9,923,930.20/3,259.52
  6. Step 6: Final answer
    x = 3,044.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.