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Finding the Fourth Proportional to 5,890.81, 8,836.22 and 1,997.95

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Solution

The fourth proportional to 5,890.81, 8,836.22 and 1,997.95 is: 2,996.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.81 : 8,836.22 = 1,997.95 : x
  2. Step 2: Convert to fraction form
    5,890.81/8,836.22 = 1,997.95/x
  3. Step 3: Cross multiply
    5,890.81x = 8,836.22 × 1,997.95
  4. Step 4: Simplify right side
    5,890.81x = 17,654,293.67
  5. Step 5: Solve for x
    x = 17,654,293.67/5,890.81
  6. Step 6: Final answer
    x = 2,996.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.