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Finding the Fourth Proportional to 3,626, 5,439.39 and 1,160.24

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Solution

The fourth proportional to 3,626, 5,439.39 and 1,160.24 is: 1,740.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626 : 5,439.39 = 1,160.24 : x
  2. Step 2: Convert to fraction form
    3,626/5,439.39 = 1,160.24/x
  3. Step 3: Cross multiply
    3,626x = 5,439.39 × 1,160.24
  4. Step 4: Simplify right side
    3,626x = 6,310,997.85
  5. Step 5: Solve for x
    x = 6,310,997.85/3,626
  6. Step 6: Final answer
    x = 1,740.48

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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.