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Finding the Fourth Proportional to 5,174.73, 7,757.52 and 2,056.92

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Solution

The fourth proportional to 5,174.73, 7,757.52 and 2,056.92 is: 3,083.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.73 : 7,757.52 = 2,056.92 : x
  2. Step 2: Convert to fraction form
    5,174.73/7,757.52 = 2,056.92/x
  3. Step 3: Cross multiply
    5,174.73x = 7,757.52 × 2,056.92
  4. Step 4: Simplify right side
    5,174.73x = 15,956,598.04
  5. Step 5: Solve for x
    x = 15,956,598.04/5,174.73
  6. Step 6: Final answer
    x = 3,083.56

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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.