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Finding the Fourth Proportional to 6,083.85, 8,394.25 and 3,693.76

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Solution

The fourth proportional to 6,083.85, 8,394.25 and 3,693.76 is: 5,096.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,083.85 : 8,394.25 = 3,693.76 : x
  2. Step 2: Convert to fraction form
    6,083.85/8,394.25 = 3,693.76/x
  3. Step 3: Cross multiply
    6,083.85x = 8,394.25 × 3,693.76
  4. Step 4: Simplify right side
    6,083.85x = 31,006,344.88
  5. Step 5: Solve for x
    x = 31,006,344.88/6,083.85
  6. Step 6: Final answer
    x = 5,096.50

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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.