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Finding the Fourth Proportional to 3,229, 4,843.78 and 1,037.28

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Solution

The fourth proportional to 3,229, 4,843.78 and 1,037.28 is: 1,556.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229 : 4,843.78 = 1,037.28 : x
  2. Step 2: Convert to fraction form
    3,229/4,843.78 = 1,037.28/x
  3. Step 3: Cross multiply
    3,229x = 4,843.78 × 1,037.28
  4. Step 4: Simplify right side
    3,229x = 5,024,356.12
  5. Step 5: Solve for x
    x = 5,024,356.12/3,229
  6. Step 6: Final answer
    x = 1,556.01

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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.