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Finding the Fourth Proportional to 3,496.20, 5,245.02 and 1,031.10

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Solution

The fourth proportional to 3,496.20, 5,245.02 and 1,031.10 is: 1,546.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.20 : 5,245.02 = 1,031.10 : x
  2. Step 2: Convert to fraction form
    3,496.20/5,245.02 = 1,031.10/x
  3. Step 3: Cross multiply
    3,496.20x = 5,245.02 × 1,031.10
  4. Step 4: Simplify right side
    3,496.20x = 5,408,140.12
  5. Step 5: Solve for x
    x = 5,408,140.12/3,496.20
  6. Step 6: Final answer
    x = 1,546.86

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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.