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Finding the Fourth Proportional to 3,591.87, 5,387.72 and 959.37

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Solution

The fourth proportional to 3,591.87, 5,387.72 and 959.37 is: 1,439.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,591.87 : 5,387.72 = 959.37 : x
  2. Step 2: Convert to fraction form
    3,591.87/5,387.72 = 959.37/x
  3. Step 3: Cross multiply
    3,591.87x = 5,387.72 × 959.37
  4. Step 4: Simplify right side
    3,591.87x = 5,168,812.14
  5. Step 5: Solve for x
    x = 5,168,812.14/3,591.87
  6. Step 6: Final answer
    x = 1,439.03

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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.