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Finding the Fourth Proportional to 3,502.22, 5,253.87 and 1,037.42

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Solution

The fourth proportional to 3,502.22, 5,253.87 and 1,037.42 is: 1,556.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.22 : 5,253.87 = 1,037.42 : x
  2. Step 2: Convert to fraction form
    3,502.22/5,253.87 = 1,037.42/x
  3. Step 3: Cross multiply
    3,502.22x = 5,253.87 × 1,037.42
  4. Step 4: Simplify right side
    3,502.22x = 5,450,469.82
  5. Step 5: Solve for x
    x = 5,450,469.82/3,502.22
  6. Step 6: Final answer
    x = 1,556.29

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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.