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Finding the Fourth Proportional to 3,966.63, 5,473.83 and 2,198.13

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Solution

The fourth proportional to 3,966.63, 5,473.83 and 2,198.13 is: 3,033.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.63 : 5,473.83 = 2,198.13 : x
  2. Step 2: Convert to fraction form
    3,966.63/5,473.83 = 2,198.13/x
  3. Step 3: Cross multiply
    3,966.63x = 5,473.83 × 2,198.13
  4. Step 4: Simplify right side
    3,966.63x = 12,032,189.94
  5. Step 5: Solve for x
    x = 12,032,189.94/3,966.63
  6. Step 6: Final answer
    x = 3,033.35

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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.