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Finding the Fourth Proportional to 6,085.40, 8,396.42 and 3,694.82

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Solution

The fourth proportional to 6,085.40, 8,396.42 and 3,694.82 is: 5,097.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,085.40 : 8,396.42 = 3,694.82 : x
  2. Step 2: Convert to fraction form
    6,085.40/8,396.42 = 3,694.82/x
  3. Step 3: Cross multiply
    6,085.40x = 8,396.42 × 3,694.82
  4. Step 4: Simplify right side
    6,085.40x = 31,023,260.54
  5. Step 5: Solve for x
    x = 31,023,260.54/6,085.40
  6. Step 6: Final answer
    x = 5,097.98

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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.