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Finding the Fourth Proportional to 3,620.64, 4,996.71 and 2,048.97

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Solution

The fourth proportional to 3,620.64, 4,996.71 and 2,048.97 is: 2,827.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,620.64 : 4,996.71 = 2,048.97 : x
  2. Step 2: Convert to fraction form
    3,620.64/4,996.71 = 2,048.97/x
  3. Step 3: Cross multiply
    3,620.64x = 4,996.71 × 2,048.97
  4. Step 4: Simplify right side
    3,620.64x = 10,238,108.89
  5. Step 5: Solve for x
    x = 10,238,108.89/3,620.64
  6. Step 6: Final answer
    x = 2,827.71

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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.