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Finding the Fourth Proportional to 5,234.31, 7,851.45 and 3,287.88

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Solution

The fourth proportional to 5,234.31, 7,851.45 and 3,287.88 is: 4,931.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.31 : 7,851.45 = 3,287.88 : x
  2. Step 2: Convert to fraction form
    5,234.31/7,851.45 = 3,287.88/x
  3. Step 3: Cross multiply
    5,234.31x = 7,851.45 × 3,287.88
  4. Step 4: Simplify right side
    5,234.31x = 25,814,625.43
  5. Step 5: Solve for x
    x = 25,814,625.43/5,234.31
  6. Step 6: Final answer
    x = 4,931.81

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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.