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Finding the Fourth Proportional to 6,082.28, 8,393.53 and 3,429.67

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Solution

The fourth proportional to 6,082.28, 8,393.53 and 3,429.67 is: 4,732.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.28 : 8,393.53 = 3,429.67 : x
  2. Step 2: Convert to fraction form
    6,082.28/8,393.53 = 3,429.67/x
  3. Step 3: Cross multiply
    6,082.28x = 8,393.53 × 3,429.67
  4. Step 4: Simplify right side
    6,082.28x = 28,787,038.04
  5. Step 5: Solve for x
    x = 28,787,038.04/6,082.28
  6. Step 6: Final answer
    x = 4,732.94

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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.