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Finding the Fourth Proportional to 3,591.44, 5,388 and 1,126.12

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Solution

The fourth proportional to 3,591.44, 5,388 and 1,126.12 is: 1,689.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,591.44 : 5,388 = 1,126.12 : x
  2. Step 2: Convert to fraction form
    3,591.44/5,388 = 1,126.12/x
  3. Step 3: Cross multiply
    3,591.44x = 5,388 × 1,126.12
  4. Step 4: Simplify right side
    3,591.44x = 6,067,534.56
  5. Step 5: Solve for x
    x = 6,067,534.56/3,591.44
  6. Step 6: Final answer
    x = 1,689.44

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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.