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Finding the Fourth Proportional to 5,029, 6,940.02 and 2,821

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Solution

The fourth proportional to 5,029, 6,940.02 and 2,821 is: 3,892.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,029 : 6,940.02 = 2,821 : x
  2. Step 2: Convert to fraction form
    5,029/6,940.02 = 2,821/x
  3. Step 3: Cross multiply
    5,029x = 6,940.02 × 2,821
  4. Step 4: Simplify right side
    5,029x = 19,577,796.42
  5. Step 5: Solve for x
    x = 19,577,796.42/5,029
  6. Step 6: Final answer
    x = 3,892.98

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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.