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Finding the Fourth Proportional to 3,767.52, 5,649.50 and 1,427.96

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Solution

The fourth proportional to 3,767.52, 5,649.50 and 1,427.96 is: 2,141.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.52 : 5,649.50 = 1,427.96 : x
  2. Step 2: Convert to fraction form
    3,767.52/5,649.50 = 1,427.96/x
  3. Step 3: Cross multiply
    3,767.52x = 5,649.50 × 1,427.96
  4. Step 4: Simplify right side
    3,767.52x = 8,067,260.02
  5. Step 5: Solve for x
    x = 8,067,260.02/3,767.52
  6. Step 6: Final answer
    x = 2,141.27

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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.