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Finding the Fourth Proportional to 4,717.72, 7,076.82 and 1,796.24

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Solution

The fourth proportional to 4,717.72, 7,076.82 and 1,796.24 is: 2,694.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,717.72 : 7,076.82 = 1,796.24 : x
  2. Step 2: Convert to fraction form
    4,717.72/7,076.82 = 1,796.24/x
  3. Step 3: Cross multiply
    4,717.72x = 7,076.82 × 1,796.24
  4. Step 4: Simplify right side
    4,717.72x = 12,711,667.16
  5. Step 5: Solve for x
    x = 12,711,667.16/4,717.72
  6. Step 6: Final answer
    x = 2,694.45

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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.