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Finding the Fourth Proportional to 5,093.36, 7,638.20 and 3,999.86

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Solution

The fourth proportional to 5,093.36, 7,638.20 and 3,999.86 is: 5,998.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,093.36 : 7,638.20 = 3,999.86 : x
  2. Step 2: Convert to fraction form
    5,093.36/7,638.20 = 3,999.86/x
  3. Step 3: Cross multiply
    5,093.36x = 7,638.20 × 3,999.86
  4. Step 4: Simplify right side
    5,093.36x = 30,551,672.46
  5. Step 5: Solve for x
    x = 30,551,672.46/5,093.36
  6. Step 6: Final answer
    x = 5,998.34

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