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Finding the Fourth Proportional to 5,533.68, 7,636.80 and 3,175.80

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Solution

The fourth proportional to 5,533.68, 7,636.80 and 3,175.80 is: 4,382.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,533.68 : 7,636.80 = 3,175.80 : x
  2. Step 2: Convert to fraction form
    5,533.68/7,636.80 = 3,175.80/x
  3. Step 3: Cross multiply
    5,533.68x = 7,636.80 × 3,175.80
  4. Step 4: Simplify right side
    5,533.68x = 24,252,949.44
  5. Step 5: Solve for x
    x = 24,252,949.44/5,533.68
  6. Step 6: Final answer
    x = 4,382.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.