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Finding the Fourth Proportional to 3,942.94, 5,441.16 and 2,174.51

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Solution

The fourth proportional to 3,942.94, 5,441.16 and 2,174.51 is: 3,000.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.94 : 5,441.16 = 2,174.51 : x
  2. Step 2: Convert to fraction form
    3,942.94/5,441.16 = 2,174.51/x
  3. Step 3: Cross multiply
    3,942.94x = 5,441.16 × 2,174.51
  4. Step 4: Simplify right side
    3,942.94x = 11,831,856.83
  5. Step 5: Solve for x
    x = 11,831,856.83/3,942.94
  6. Step 6: Final answer
    x = 3,000.77

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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.