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Finding the Fourth Proportional to 3,796.49, 5,239.06 and 2,117.83

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Solution

The fourth proportional to 3,796.49, 5,239.06 and 2,117.83 is: 2,922.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.49 : 5,239.06 = 2,117.83 : x
  2. Step 2: Convert to fraction form
    3,796.49/5,239.06 = 2,117.83/x
  3. Step 3: Cross multiply
    3,796.49x = 5,239.06 × 2,117.83
  4. Step 4: Simplify right side
    3,796.49x = 11,095,438.44
  5. Step 5: Solve for x
    x = 11,095,438.44/3,796.49
  6. Step 6: Final answer
    x = 2,922.55

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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.