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Finding the Fourth Proportional to 3,131.27, 4,340.92 and 2,964.82

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Solution

The fourth proportional to 3,131.27, 4,340.92 and 2,964.82 is: 4,110.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.27 : 4,340.92 = 2,964.82 : x
  2. Step 2: Convert to fraction form
    3,131.27/4,340.92 = 2,964.82/x
  3. Step 3: Cross multiply
    3,131.27x = 4,340.92 × 2,964.82
  4. Step 4: Simplify right side
    3,131.27x = 12,870,024.73
  5. Step 5: Solve for x
    x = 12,870,024.73/3,131.27
  6. Step 6: Final answer
    x = 4,110.16

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.