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Finding the Fourth Proportional to 3,796.12, 5,238.65 and 2,117.64

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Solution

The fourth proportional to 3,796.12, 5,238.65 and 2,117.64 is: 2,922.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.12 : 5,238.65 = 2,117.64 : x
  2. Step 2: Convert to fraction form
    3,796.12/5,238.65 = 2,117.64/x
  3. Step 3: Cross multiply
    3,796.12x = 5,238.65 × 2,117.64
  4. Step 4: Simplify right side
    3,796.12x = 11,093,548.59
  5. Step 5: Solve for x
    x = 11,093,548.59/3,796.12
  6. Step 6: Final answer
    x = 2,922.34

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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.