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Finding the Fourth Proportional to 3,425.72, 5,138.75 and 1,117.22

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Solution

The fourth proportional to 3,425.72, 5,138.75 and 1,117.22 is: 1,675.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.72 : 5,138.75 = 1,117.22 : x
  2. Step 2: Convert to fraction form
    3,425.72/5,138.75 = 1,117.22/x
  3. Step 3: Cross multiply
    3,425.72x = 5,138.75 × 1,117.22
  4. Step 4: Simplify right side
    3,425.72x = 5,741,104.36
  5. Step 5: Solve for x
    x = 5,741,104.36/3,425.72
  6. Step 6: Final answer
    x = 1,675.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.