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Finding the Fourth Proportional to 5,217.69, 7,198.97 and 2,978.76

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Solution

The fourth proportional to 5,217.69, 7,198.97 and 2,978.76 is: 4,109.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,217.69 : 7,198.97 = 2,978.76 : x
  2. Step 2: Convert to fraction form
    5,217.69/7,198.97 = 2,978.76/x
  3. Step 3: Cross multiply
    5,217.69x = 7,198.97 × 2,978.76
  4. Step 4: Simplify right side
    5,217.69x = 21,444,003.88
  5. Step 5: Solve for x
    x = 21,444,003.88/5,217.69
  6. Step 6: Final answer
    x = 4,109.87

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