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Finding the Fourth Proportional to 6,082.60, 8,394.84 and 3,693.76

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Solution

The fourth proportional to 6,082.60, 8,394.84 and 3,693.76 is: 5,097.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.60 : 8,394.84 = 3,693.76 : x
  2. Step 2: Convert to fraction form
    6,082.60/8,394.84 = 3,693.76/x
  3. Step 3: Cross multiply
    6,082.60x = 8,394.84 × 3,693.76
  4. Step 4: Simplify right side
    6,082.60x = 31,008,524.20
  5. Step 5: Solve for x
    x = 31,008,524.20/6,082.60
  6. Step 6: Final answer
    x = 5,097.91

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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.