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Finding the Fourth Proportional to 6,093.27, 8,405.49 and 4,201.56

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Solution

The fourth proportional to 6,093.27, 8,405.49 and 4,201.56 is: 5,795.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.27 : 8,405.49 = 4,201.56 : x
  2. Step 2: Convert to fraction form
    6,093.27/8,405.49 = 4,201.56/x
  3. Step 3: Cross multiply
    6,093.27x = 8,405.49 × 4,201.56
  4. Step 4: Simplify right side
    6,093.27x = 35,316,170.56
  5. Step 5: Solve for x
    x = 35,316,170.56/6,093.27
  6. Step 6: Final answer
    x = 5,795.93

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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.