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Finding the Fourth Proportional to 5,198.39, 7,178.82 and 4,447.96

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Solution

The fourth proportional to 5,198.39, 7,178.82 and 4,447.96 is: 6,142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.39 : 7,178.82 = 4,447.96 : x
  2. Step 2: Convert to fraction form
    5,198.39/7,178.82 = 4,447.96/x
  3. Step 3: Cross multiply
    5,198.39x = 7,178.82 × 4,447.96
  4. Step 4: Simplify right side
    5,198.39x = 31,931,104.21
  5. Step 5: Solve for x
    x = 31,931,104.21/5,198.39
  6. Step 6: Final answer
    x = 6,142.50

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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.