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Finding the Fourth Proportional to 6,082.62, 8,394.21 and 3,430.14

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Solution

The fourth proportional to 6,082.62, 8,394.21 and 3,430.14 is: 4,733.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.62 : 8,394.21 = 3,430.14 : x
  2. Step 2: Convert to fraction form
    6,082.62/8,394.21 = 3,430.14/x
  3. Step 3: Cross multiply
    6,082.62x = 8,394.21 × 3,430.14
  4. Step 4: Simplify right side
    6,082.62x = 28,793,315.49
  5. Step 5: Solve for x
    x = 28,793,315.49/6,082.62
  6. Step 6: Final answer
    x = 4,733.70

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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.