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Finding the Fourth Proportional to 5,902.94, 8,143.44 and 3,660.32

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Solution

The fourth proportional to 5,902.94, 8,143.44 and 3,660.32 is: 5,049.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.94 : 8,143.44 = 3,660.32 : x
  2. Step 2: Convert to fraction form
    5,902.94/8,143.44 = 3,660.32/x
  3. Step 3: Cross multiply
    5,902.94x = 8,143.44 × 3,660.32
  4. Step 4: Simplify right side
    5,902.94x = 29,807,555.58
  5. Step 5: Solve for x
    x = 29,807,555.58/5,902.94
  6. Step 6: Final answer
    x = 5,049.62

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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.