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Finding the Fourth Proportional to 3,283.52, 4,910.88 and 2,857.28

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Solution

The fourth proportional to 3,283.52, 4,910.88 and 2,857.28 is: 4,273.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.52 : 4,910.88 = 2,857.28 : x
  2. Step 2: Convert to fraction form
    3,283.52/4,910.88 = 2,857.28/x
  3. Step 3: Cross multiply
    3,283.52x = 4,910.88 × 2,857.28
  4. Step 4: Simplify right side
    3,283.52x = 14,031,759.21
  5. Step 5: Solve for x
    x = 14,031,759.21/3,283.52
  6. Step 6: Final answer
    x = 4,273.39

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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.