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Finding the Fourth Proportional to 3,942.93, 5,441.26 and 2,174.53

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Solution

The fourth proportional to 3,942.93, 5,441.26 and 2,174.53 is: 3,000.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.93 : 5,441.26 = 2,174.53 : x
  2. Step 2: Convert to fraction form
    3,942.93/5,441.26 = 2,174.53/x
  3. Step 3: Cross multiply
    3,942.93x = 5,441.26 × 2,174.53
  4. Step 4: Simplify right side
    3,942.93x = 11,832,164.07
  5. Step 5: Solve for x
    x = 11,832,164.07/3,942.93
  6. Step 6: Final answer
    x = 3,000.86

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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.