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Finding the Fourth Proportional to 5,687.71, 8,520.50 and 3,215.05

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Solution

The fourth proportional to 5,687.71, 8,520.50 and 3,215.05 is: 4,816.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.71 : 8,520.50 = 3,215.05 : x
  2. Step 2: Convert to fraction form
    5,687.71/8,520.50 = 3,215.05/x
  3. Step 3: Cross multiply
    5,687.71x = 8,520.50 × 3,215.05
  4. Step 4: Simplify right side
    5,687.71x = 27,393,817.45
  5. Step 5: Solve for x
    x = 27,393,817.45/5,687.71
  6. Step 6: Final answer
    x = 4,816.32

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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.