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Finding the Fourth Proportional to 6,141.23, 8,474.90 and 3,346.73

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Solution

The fourth proportional to 6,141.23, 8,474.90 and 3,346.73 is: 4,618.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.23 : 8,474.90 = 3,346.73 : x
  2. Step 2: Convert to fraction form
    6,141.23/8,474.90 = 3,346.73/x
  3. Step 3: Cross multiply
    6,141.23x = 8,474.90 × 3,346.73
  4. Step 4: Simplify right side
    6,141.23x = 28,363,231.63
  5. Step 5: Solve for x
    x = 28,363,231.63/6,141.23
  6. Step 6: Final answer
    x = 4,618.49

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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.