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Finding the Fourth Proportional to 6,194.10, 8,540.70 and 4,205.94

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Solution

The fourth proportional to 6,194.10, 8,540.70 and 4,205.94 is: 5,799.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.10 : 8,540.70 = 4,205.94 : x
  2. Step 2: Convert to fraction form
    6,194.10/8,540.70 = 4,205.94/x
  3. Step 3: Cross multiply
    6,194.10x = 8,540.70 × 4,205.94
  4. Step 4: Simplify right side
    6,194.10x = 35,921,671.76
  5. Step 5: Solve for x
    x = 35,921,671.76/6,194.10
  6. Step 6: Final answer
    x = 5,799.34

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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.