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Finding the Fourth Proportional to 3,494.64, 5,241.15 and 1,028.80

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Solution

The fourth proportional to 3,494.64, 5,241.15 and 1,028.80 is: 1,542.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.64 : 5,241.15 = 1,028.80 : x
  2. Step 2: Convert to fraction form
    3,494.64/5,241.15 = 1,028.80/x
  3. Step 3: Cross multiply
    3,494.64x = 5,241.15 × 1,028.80
  4. Step 4: Simplify right side
    3,494.64x = 5,392,082.02
  5. Step 5: Solve for x
    x = 5,392,082.02/3,494.64
  6. Step 6: Final answer
    x = 1,542.96

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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.