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Finding the Fourth Proportional to 4,072.92, 5,620.19 and 2,304.50

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Solution

The fourth proportional to 4,072.92, 5,620.19 and 2,304.50 is: 3,179.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,072.92 : 5,620.19 = 2,304.50 : x
  2. Step 2: Convert to fraction form
    4,072.92/5,620.19 = 2,304.50/x
  3. Step 3: Cross multiply
    4,072.92x = 5,620.19 × 2,304.50
  4. Step 4: Simplify right side
    4,072.92x = 12,951,688.23
  5. Step 5: Solve for x
    x = 12,951,688.23/4,072.92
  6. Step 6: Final answer
    x = 3,179.95

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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.