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Finding the Fourth Proportional to 5,640.64, 7,783.36 and 3,283.12

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Solution

The fourth proportional to 5,640.64, 7,783.36 and 3,283.12 is: 4,530.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.64 : 7,783.36 = 3,283.12 : x
  2. Step 2: Convert to fraction form
    5,640.64/7,783.36 = 3,283.12/x
  3. Step 3: Cross multiply
    5,640.64x = 7,783.36 × 3,283.12
  4. Step 4: Simplify right side
    5,640.64x = 25,553,704.88
  5. Step 5: Solve for x
    x = 25,553,704.88/5,640.64
  6. Step 6: Final answer
    x = 4,530.28

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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.