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Finding the Fourth Proportional to 5,234.56, 7,809.92 and 4,175.44

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Solution

The fourth proportional to 5,234.56, 7,809.92 and 4,175.44 is: 6,229.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.56 : 7,809.92 = 4,175.44 : x
  2. Step 2: Convert to fraction form
    5,234.56/7,809.92 = 4,175.44/x
  3. Step 3: Cross multiply
    5,234.56x = 7,809.92 × 4,175.44
  4. Step 4: Simplify right side
    5,234.56x = 32,609,852.36
  5. Step 5: Solve for x
    x = 32,609,852.36/5,234.56
  6. Step 6: Final answer
    x = 6,229.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.