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Finding the Fourth Proportional to 3,496.38, 5,244.62 and 1,031.25

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Solution

The fourth proportional to 3,496.38, 5,244.62 and 1,031.25 is: 1,546.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.38 : 5,244.62 = 1,031.25 : x
  2. Step 2: Convert to fraction form
    3,496.38/5,244.62 = 1,031.25/x
  3. Step 3: Cross multiply
    3,496.38x = 5,244.62 × 1,031.25
  4. Step 4: Simplify right side
    3,496.38x = 5,408,499.39
  5. Step 5: Solve for x
    x = 5,408,499.39/3,496.38
  6. Step 6: Final answer
    x = 1,546.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.