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Finding the Fourth Proportional to 6,082.84, 8,394.07 and 3,430.50

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Solution

The fourth proportional to 6,082.84, 8,394.07 and 3,430.50 is: 4,733.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.84 : 8,394.07 = 3,430.50 : x
  2. Step 2: Convert to fraction form
    6,082.84/8,394.07 = 3,430.50/x
  3. Step 3: Cross multiply
    6,082.84x = 8,394.07 × 3,430.50
  4. Step 4: Simplify right side
    6,082.84x = 28,795,857.14
  5. Step 5: Solve for x
    x = 28,795,857.14/6,082.84
  6. Step 6: Final answer
    x = 4,733.95

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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.