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Finding the Fourth Proportional to 3,626.50, 5,443.60 and 3,212.72

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Solution

The fourth proportional to 3,626.50, 5,443.60 and 3,212.72 is: 4,822.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626.50 : 5,443.60 = 3,212.72 : x
  2. Step 2: Convert to fraction form
    3,626.50/5,443.60 = 3,212.72/x
  3. Step 3: Cross multiply
    3,626.50x = 5,443.60 × 3,212.72
  4. Step 4: Simplify right side
    3,626.50x = 17,488,762.59
  5. Step 5: Solve for x
    x = 17,488,762.59/3,626.50
  6. Step 6: Final answer
    x = 4,822.49

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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.