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Finding the Fourth Proportional to 3,620.52, 4,996.02 and 2,049

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Solution

The fourth proportional to 3,620.52, 4,996.02 and 2,049 is: 2,827.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,620.52 : 4,996.02 = 2,049 : x
  2. Step 2: Convert to fraction form
    3,620.52/4,996.02 = 2,049/x
  3. Step 3: Cross multiply
    3,620.52x = 4,996.02 × 2,049
  4. Step 4: Simplify right side
    3,620.52x = 10,236,844.98
  5. Step 5: Solve for x
    x = 10,236,844.98/3,620.52
  6. Step 6: Final answer
    x = 2,827.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.