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Finding the Fourth Proportional to 4,942.56, 6,822.24 and 2,953.92

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Solution

The fourth proportional to 4,942.56, 6,822.24 and 2,953.92 is: 4,077.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.56 : 6,822.24 = 2,953.92 : x
  2. Step 2: Convert to fraction form
    4,942.56/6,822.24 = 2,953.92/x
  3. Step 3: Cross multiply
    4,942.56x = 6,822.24 × 2,953.92
  4. Step 4: Simplify right side
    4,942.56x = 20,152,351.18
  5. Step 5: Solve for x
    x = 20,152,351.18/4,942.56
  6. Step 6: Final answer
    x = 4,077.31

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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.