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Finding the Fourth Proportional to 6,141.77, 8,474.34 and 3,902.83

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Solution

The fourth proportional to 6,141.77, 8,474.34 and 3,902.83 is: 5,385.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.77 : 8,474.34 = 3,902.83 : x
  2. Step 2: Convert to fraction form
    6,141.77/8,474.34 = 3,902.83/x
  3. Step 3: Cross multiply
    6,141.77x = 8,474.34 × 3,902.83
  4. Step 4: Simplify right side
    6,141.77x = 33,073,882.15
  5. Step 5: Solve for x
    x = 33,073,882.15/6,141.77
  6. Step 6: Final answer
    x = 5,385.08

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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.