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Finding the Fourth Proportional to 5,162.34, 7,743.41 and 3,497.25

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Solution

The fourth proportional to 5,162.34, 7,743.41 and 3,497.25 is: 5,245.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.34 : 7,743.41 = 3,497.25 : x
  2. Step 2: Convert to fraction form
    5,162.34/7,743.41 = 3,497.25/x
  3. Step 3: Cross multiply
    5,162.34x = 7,743.41 × 3,497.25
  4. Step 4: Simplify right side
    5,162.34x = 27,080,623.14
  5. Step 5: Solve for x
    x = 27,080,623.14/5,162.34
  6. Step 6: Final answer
    x = 5,245.80

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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.