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Finding the Fourth Proportional to 3,605.82, 4,976.02 and 1,949.82

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Solution

The fourth proportional to 3,605.82, 4,976.02 and 1,949.82 is: 2,690.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.82 : 4,976.02 = 1,949.82 : x
  2. Step 2: Convert to fraction form
    3,605.82/4,976.02 = 1,949.82/x
  3. Step 3: Cross multiply
    3,605.82x = 4,976.02 × 1,949.82
  4. Step 4: Simplify right side
    3,605.82x = 9,702,343.32
  5. Step 5: Solve for x
    x = 9,702,343.32/3,605.82
  6. Step 6: Final answer
    x = 2,690.75

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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.