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Finding the Fourth Proportional to 5,933.38, 8,188.41 and 3,415.43

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Solution

The fourth proportional to 5,933.38, 8,188.41 and 3,415.43 is: 4,713.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,933.38 : 8,188.41 = 3,415.43 : x
  2. Step 2: Convert to fraction form
    5,933.38/8,188.41 = 3,415.43/x
  3. Step 3: Cross multiply
    5,933.38x = 8,188.41 × 3,415.43
  4. Step 4: Simplify right side
    5,933.38x = 27,966,900.22
  5. Step 5: Solve for x
    x = 27,966,900.22/5,933.38
  6. Step 6: Final answer
    x = 4,713.49

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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.