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Finding the Fourth Proportional to 5,138.26, 7,725.72 and 4,732.29

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Solution

The fourth proportional to 5,138.26, 7,725.72 and 4,732.29 is: 7,115.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.26 : 7,725.72 = 4,732.29 : x
  2. Step 2: Convert to fraction form
    5,138.26/7,725.72 = 4,732.29/x
  3. Step 3: Cross multiply
    5,138.26x = 7,725.72 × 4,732.29
  4. Step 4: Simplify right side
    5,138.26x = 36,560,394.22
  5. Step 5: Solve for x
    x = 36,560,394.22/5,138.26
  6. Step 6: Final answer
    x = 7,115.32

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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.