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Finding the Fourth Proportional to 4,101.43, 5,659.97 and 2,238.43

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Solution

The fourth proportional to 4,101.43, 5,659.97 and 2,238.43 is: 3,089.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101.43 : 5,659.97 = 2,238.43 : x
  2. Step 2: Convert to fraction form
    4,101.43/5,659.97 = 2,238.43/x
  3. Step 3: Cross multiply
    4,101.43x = 5,659.97 × 2,238.43
  4. Step 4: Simplify right side
    4,101.43x = 12,669,407.16
  5. Step 5: Solve for x
    x = 12,669,407.16/4,101.43
  6. Step 6: Final answer
    x = 3,089.03

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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.