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Finding the Fourth Proportional to 6,383.52, 8,808.24 and 3,865.20

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Solution

The fourth proportional to 6,383.52, 8,808.24 and 3,865.20 is: 5,333.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383.52 : 8,808.24 = 3,865.20 : x
  2. Step 2: Convert to fraction form
    6,383.52/8,808.24 = 3,865.20/x
  3. Step 3: Cross multiply
    6,383.52x = 8,808.24 × 3,865.20
  4. Step 4: Simplify right side
    6,383.52x = 34,045,609.25
  5. Step 5: Solve for x
    x = 34,045,609.25/6,383.52
  6. Step 6: Final answer
    x = 5,333.36

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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.