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Finding the Fourth Proportional to 3,796.42, 5,239.03 and 2,117.84

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Solution

The fourth proportional to 3,796.42, 5,239.03 and 2,117.84 is: 2,922.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.42 : 5,239.03 = 2,117.84 : x
  2. Step 2: Convert to fraction form
    3,796.42/5,239.03 = 2,117.84/x
  3. Step 3: Cross multiply
    3,796.42x = 5,239.03 × 2,117.84
  4. Step 4: Simplify right side
    3,796.42x = 11,095,435.10
  5. Step 5: Solve for x
    x = 11,095,435.10/3,796.42
  6. Step 6: Final answer
    x = 2,922.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.