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Finding the Fourth Proportional to 4,236.64, 6,352.12 and 1,636.54

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Solution

The fourth proportional to 4,236.64, 6,352.12 and 1,636.54 is: 2,453.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,236.64 : 6,352.12 = 1,636.54 : x
  2. Step 2: Convert to fraction form
    4,236.64/6,352.12 = 1,636.54/x
  3. Step 3: Cross multiply
    4,236.64x = 6,352.12 × 1,636.54
  4. Step 4: Simplify right side
    4,236.64x = 10,395,498.46
  5. Step 5: Solve for x
    x = 10,395,498.46/4,236.64
  6. Step 6: Final answer
    x = 2,453.71

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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.