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Finding the Fourth Proportional to 4,997.60, 6,896 and 2,872.97

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Solution

The fourth proportional to 4,997.60, 6,896 and 2,872.97 is: 3,964.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997.60 : 6,896 = 2,872.97 : x
  2. Step 2: Convert to fraction form
    4,997.60/6,896 = 2,872.97/x
  3. Step 3: Cross multiply
    4,997.60x = 6,896 × 2,872.97
  4. Step 4: Simplify right side
    4,997.60x = 19,812,001.12
  5. Step 5: Solve for x
    x = 19,812,001.12/4,997.60
  6. Step 6: Final answer
    x = 3,964.30

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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.