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Finding the Fourth Proportional to 3,353.78, 5,029.70 and 1,272.29

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Solution

The fourth proportional to 3,353.78, 5,029.70 and 1,272.29 is: 1,908.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,353.78 : 5,029.70 = 1,272.29 : x
  2. Step 2: Convert to fraction form
    3,353.78/5,029.70 = 1,272.29/x
  3. Step 3: Cross multiply
    3,353.78x = 5,029.70 × 1,272.29
  4. Step 4: Simplify right side
    3,353.78x = 6,399,205.50
  5. Step 5: Solve for x
    x = 6,399,205.50/3,353.78
  6. Step 6: Final answer
    x = 1,908.06

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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.