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Finding the Fourth Proportional to 4,072.64, 5,624.88 and 2,744.04

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Solution

The fourth proportional to 4,072.64, 5,624.88 and 2,744.04 is: 3,789.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,072.64 : 5,624.88 = 2,744.04 : x
  2. Step 2: Convert to fraction form
    4,072.64/5,624.88 = 2,744.04/x
  3. Step 3: Cross multiply
    4,072.64x = 5,624.88 × 2,744.04
  4. Step 4: Simplify right side
    4,072.64x = 15,434,895.72
  5. Step 5: Solve for x
    x = 15,434,895.72/4,072.64
  6. Step 6: Final answer
    x = 3,789.90

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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.