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Finding the Fourth Proportional to 6,434.97, 8,880.24 and 3,783.90

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Solution

The fourth proportional to 6,434.97, 8,880.24 and 3,783.90 is: 5,221.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.97 : 8,880.24 = 3,783.90 : x
  2. Step 2: Convert to fraction form
    6,434.97/8,880.24 = 3,783.90/x
  3. Step 3: Cross multiply
    6,434.97x = 8,880.24 × 3,783.90
  4. Step 4: Simplify right side
    6,434.97x = 33,601,940.14
  5. Step 5: Solve for x
    x = 33,601,940.14/6,434.97
  6. Step 6: Final answer
    x = 5,221.77

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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.