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Finding the Fourth Proportional to 6,082.50, 8,393.14 and 3,429.75

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Solution

The fourth proportional to 6,082.50, 8,393.14 and 3,429.75 is: 4,732.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.50 : 8,393.14 = 3,429.75 : x
  2. Step 2: Convert to fraction form
    6,082.50/8,393.14 = 3,429.75/x
  3. Step 3: Cross multiply
    6,082.50x = 8,393.14 × 3,429.75
  4. Step 4: Simplify right side
    6,082.50x = 28,786,354.77
  5. Step 5: Solve for x
    x = 28,786,354.77/6,082.50
  6. Step 6: Final answer
    x = 4,732.65

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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.