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Finding the Fourth Proportional to 3,496.41, 5,244.68 and 1,031.28

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Solution

The fourth proportional to 3,496.41, 5,244.68 and 1,031.28 is: 1,546.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.41 : 5,244.68 = 1,031.28 : x
  2. Step 2: Convert to fraction form
    3,496.41/5,244.68 = 1,031.28/x
  3. Step 3: Cross multiply
    3,496.41x = 5,244.68 × 1,031.28
  4. Step 4: Simplify right side
    3,496.41x = 5,408,716.50
  5. Step 5: Solve for x
    x = 5,408,716.50/3,496.41
  6. Step 6: Final answer
    x = 1,546.93

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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.