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Finding the Fourth Proportional to 5,192, 7,163.88 and 3,513.68

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Solution

The fourth proportional to 5,192, 7,163.88 and 3,513.68 is: 4,848.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192 : 7,163.88 = 3,513.68 : x
  2. Step 2: Convert to fraction form
    5,192/7,163.88 = 3,513.68/x
  3. Step 3: Cross multiply
    5,192x = 7,163.88 × 3,513.68
  4. Step 4: Simplify right side
    5,192x = 25,171,581.88
  5. Step 5: Solve for x
    x = 25,171,581.88/5,192
  6. Step 6: Final answer
    x = 4,848.15

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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.