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Finding the Fourth Proportional to 4,072.46, 5,620.24 and 2,304.22

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Solution

The fourth proportional to 4,072.46, 5,620.24 and 2,304.22 is: 3,179.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,072.46 : 5,620.24 = 2,304.22 : x
  2. Step 2: Convert to fraction form
    4,072.46/5,620.24 = 2,304.22/x
  3. Step 3: Cross multiply
    4,072.46x = 5,620.24 × 2,304.22
  4. Step 4: Simplify right side
    4,072.46x = 12,950,269.41
  5. Step 5: Solve for x
    x = 12,950,269.41/4,072.46
  6. Step 6: Final answer
    x = 3,179.96

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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.