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Finding the Fourth Proportional to 4,992.42, 7,474.14 and 2,906.06

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Solution

The fourth proportional to 4,992.42, 7,474.14 and 2,906.06 is: 4,350.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,992.42 : 7,474.14 = 2,906.06 : x
  2. Step 2: Convert to fraction form
    4,992.42/7,474.14 = 2,906.06/x
  3. Step 3: Cross multiply
    4,992.42x = 7,474.14 × 2,906.06
  4. Step 4: Simplify right side
    4,992.42x = 21,720,299.29
  5. Step 5: Solve for x
    x = 21,720,299.29/4,992.42
  6. Step 6: Final answer
    x = 4,350.66

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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.