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Finding the Fourth Proportional to 5,845.67, 8,069.12 and 4,168.06

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Solution

The fourth proportional to 5,845.67, 8,069.12 and 4,168.06 is: 5,753.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,845.67 : 8,069.12 = 4,168.06 : x
  2. Step 2: Convert to fraction form
    5,845.67/8,069.12 = 4,168.06/x
  3. Step 3: Cross multiply
    5,845.67x = 8,069.12 × 4,168.06
  4. Step 4: Simplify right side
    5,845.67x = 33,632,550.92
  5. Step 5: Solve for x
    x = 33,632,550.92/5,845.67
  6. Step 6: Final answer
    x = 5,753.41

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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.