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Finding the Fourth Proportional to 4,906.72, 6,769.28 and 3,137.92

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Solution

The fourth proportional to 4,906.72, 6,769.28 and 3,137.92 is: 4,329.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.72 : 6,769.28 = 3,137.92 : x
  2. Step 2: Convert to fraction form
    4,906.72/6,769.28 = 3,137.92/x
  3. Step 3: Cross multiply
    4,906.72x = 6,769.28 × 3,137.92
  4. Step 4: Simplify right side
    4,906.72x = 21,241,459.10
  5. Step 5: Solve for x
    x = 21,241,459.10/4,906.72
  6. Step 6: Final answer
    x = 4,329.05

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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.