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Finding the Fourth Proportional to 6,477.87, 8,940.32 and 3,682.83

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Solution

The fourth proportional to 6,477.87, 8,940.32 and 3,682.83 is: 5,082.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.87 : 8,940.32 = 3,682.83 : x
  2. Step 2: Convert to fraction form
    6,477.87/8,940.32 = 3,682.83/x
  3. Step 3: Cross multiply
    6,477.87x = 8,940.32 × 3,682.83
  4. Step 4: Simplify right side
    6,477.87x = 32,925,660.29
  5. Step 5: Solve for x
    x = 32,925,660.29/6,477.87
  6. Step 6: Final answer
    x = 5,082.79

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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.