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Finding the Fourth Proportional to 3,288.36, 4,532.85 and 2,757

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Solution

The fourth proportional to 3,288.36, 4,532.85 and 2,757 is: 3,800.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.36 : 4,532.85 = 2,757 : x
  2. Step 2: Convert to fraction form
    3,288.36/4,532.85 = 2,757/x
  3. Step 3: Cross multiply
    3,288.36x = 4,532.85 × 2,757
  4. Step 4: Simplify right side
    3,288.36x = 12,497,067.45
  5. Step 5: Solve for x
    x = 12,497,067.45/3,288.36
  6. Step 6: Final answer
    x = 3,800.40

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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.