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Finding the Fourth Proportional to 6,093.10, 8,402.70 and 4,201.66

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Solution

The fourth proportional to 6,093.10, 8,402.70 and 4,201.66 is: 5,794.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.10 : 8,402.70 = 4,201.66 : x
  2. Step 2: Convert to fraction form
    6,093.10/8,402.70 = 4,201.66/x
  3. Step 3: Cross multiply
    6,093.10x = 8,402.70 × 4,201.66
  4. Step 4: Simplify right side
    6,093.10x = 35,305,288.48
  5. Step 5: Solve for x
    x = 35,305,288.48/6,093.10
  6. Step 6: Final answer
    x = 5,794.31

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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.