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Finding the Fourth Proportional to 3,640.72, 5,022.76 and 2,047

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Solution

The fourth proportional to 3,640.72, 5,022.76 and 2,047 is: 2,824.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.72 : 5,022.76 = 2,047 : x
  2. Step 2: Convert to fraction form
    3,640.72/5,022.76 = 2,047/x
  3. Step 3: Cross multiply
    3,640.72x = 5,022.76 × 2,047
  4. Step 4: Simplify right side
    3,640.72x = 10,281,589.72
  5. Step 5: Solve for x
    x = 10,281,589.72/3,640.72
  6. Step 6: Final answer
    x = 2,824.05

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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.