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Finding the Fourth Proportional to 3,766.75, 5,651.31 and 1,688.50

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Solution

The fourth proportional to 3,766.75, 5,651.31 and 1,688.50 is: 2,533.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.75 : 5,651.31 = 1,688.50 : x
  2. Step 2: Convert to fraction form
    3,766.75/5,651.31 = 1,688.50/x
  3. Step 3: Cross multiply
    3,766.75x = 5,651.31 × 1,688.50
  4. Step 4: Simplify right side
    3,766.75x = 9,542,236.94
  5. Step 5: Solve for x
    x = 9,542,236.94/3,766.75
  6. Step 6: Final answer
    x = 2,533.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.