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Finding the Fourth Proportional to 3,596.66, 4,963.77 and 2,105.06

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Solution

The fourth proportional to 3,596.66, 4,963.77 and 2,105.06 is: 2,905.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.66 : 4,963.77 = 2,105.06 : x
  2. Step 2: Convert to fraction form
    3,596.66/4,963.77 = 2,105.06/x
  3. Step 3: Cross multiply
    3,596.66x = 4,963.77 × 2,105.06
  4. Step 4: Simplify right side
    3,596.66x = 10,449,033.68
  5. Step 5: Solve for x
    x = 10,449,033.68/3,596.66
  6. Step 6: Final answer
    x = 2,905.20

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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.