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Finding the Fourth Proportional to 5,998.50, 8,276.67 and 3,640.14

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Solution

The fourth proportional to 5,998.50, 8,276.67 and 3,640.14 is: 5,022.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,998.50 : 8,276.67 = 3,640.14 : x
  2. Step 2: Convert to fraction form
    5,998.50/8,276.67 = 3,640.14/x
  3. Step 3: Cross multiply
    5,998.50x = 8,276.67 × 3,640.14
  4. Step 4: Simplify right side
    5,998.50x = 30,128,237.53
  5. Step 5: Solve for x
    x = 30,128,237.53/5,998.50
  6. Step 6: Final answer
    x = 5,022.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.