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Finding the Fourth Proportional to 3,843.90, 5,305.10 and 2,165.64

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Solution

The fourth proportional to 3,843.90, 5,305.10 and 2,165.64 is: 2,988.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.90 : 5,305.10 = 2,165.64 : x
  2. Step 2: Convert to fraction form
    3,843.90/5,305.10 = 2,165.64/x
  3. Step 3: Cross multiply
    3,843.90x = 5,305.10 × 2,165.64
  4. Step 4: Simplify right side
    3,843.90x = 11,488,935.88
  5. Step 5: Solve for x
    x = 11,488,935.88/3,843.90
  6. Step 6: Final answer
    x = 2,988.87

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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.