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Finding the Fourth Proportional to 3,942.72, 5,913.27 and 1,477.44

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Solution

The fourth proportional to 3,942.72, 5,913.27 and 1,477.44 is: 2,215.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.72 : 5,913.27 = 1,477.44 : x
  2. Step 2: Convert to fraction form
    3,942.72/5,913.27 = 1,477.44/x
  3. Step 3: Cross multiply
    3,942.72x = 5,913.27 × 1,477.44
  4. Step 4: Simplify right side
    3,942.72x = 8,736,501.63
  5. Step 5: Solve for x
    x = 8,736,501.63/3,942.72
  6. Step 6: Final answer
    x = 2,215.86

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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.