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Finding the Fourth Proportional to 5,234.43, 7,851.63 and 3,288

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Solution

The fourth proportional to 5,234.43, 7,851.63 and 3,288 is: 4,931.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.43 : 7,851.63 = 3,288 : x
  2. Step 2: Convert to fraction form
    5,234.43/7,851.63 = 3,288/x
  3. Step 3: Cross multiply
    5,234.43x = 7,851.63 × 3,288
  4. Step 4: Simplify right side
    5,234.43x = 25,816,159.44
  5. Step 5: Solve for x
    x = 25,816,159.44/5,234.43
  6. Step 6: Final answer
    x = 4,931.99

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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.