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Finding the Fourth Proportional to 5,874.98, 8,104.20 and 3,635.43

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Solution

The fourth proportional to 5,874.98, 8,104.20 and 3,635.43 is: 5,014.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.98 : 8,104.20 = 3,635.43 : x
  2. Step 2: Convert to fraction form
    5,874.98/8,104.20 = 3,635.43/x
  3. Step 3: Cross multiply
    5,874.98x = 8,104.20 × 3,635.43
  4. Step 4: Simplify right side
    5,874.98x = 29,462,273.82
  5. Step 5: Solve for x
    x = 29,462,273.82/5,874.98
  6. Step 6: Final answer
    x = 5,014.87

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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.