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Finding the Fourth Proportional to 4,252.69, 6,383.69 and 3,138.64

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Solution

The fourth proportional to 4,252.69, 6,383.69 and 3,138.64 is: 4,711.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,252.69 : 6,383.69 = 3,138.64 : x
  2. Step 2: Convert to fraction form
    4,252.69/6,383.69 = 3,138.64/x
  3. Step 3: Cross multiply
    4,252.69x = 6,383.69 × 3,138.64
  4. Step 4: Simplify right side
    4,252.69x = 20,036,104.78
  5. Step 5: Solve for x
    x = 20,036,104.78/4,252.69
  6. Step 6: Final answer
    x = 4,711.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.