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Finding the Fourth Proportional to 6,082.25, 8,394.26 and 3,430.49

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Solution

The fourth proportional to 6,082.25, 8,394.26 and 3,430.49 is: 4,734.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.25 : 8,394.26 = 3,430.49 : x
  2. Step 2: Convert to fraction form
    6,082.25/8,394.26 = 3,430.49/x
  3. Step 3: Cross multiply
    6,082.25x = 8,394.26 × 3,430.49
  4. Step 4: Simplify right side
    6,082.25x = 28,796,365.86
  5. Step 5: Solve for x
    x = 28,796,365.86/6,082.25
  6. Step 6: Final answer
    x = 4,734.50

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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.