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Finding the Fourth Proportional to 5,922, 8,883 and 2,026.44

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Solution

The fourth proportional to 5,922, 8,883 and 2,026.44 is: 3,039.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,922 : 8,883 = 2,026.44 : x
  2. Step 2: Convert to fraction form
    5,922/8,883 = 2,026.44/x
  3. Step 3: Cross multiply
    5,922x = 8,883 × 2,026.44
  4. Step 4: Simplify right side
    5,922x = 18,000,866.52
  5. Step 5: Solve for x
    x = 18,000,866.52/5,922
  6. Step 6: Final answer
    x = 3,039.66

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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.