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Finding the Fourth Proportional to 5,961.71, 8,222.47 and 4,168.60

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Solution

The fourth proportional to 5,961.71, 8,222.47 and 4,168.60 is: 5,749.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,961.71 : 8,222.47 = 4,168.60 : x
  2. Step 2: Convert to fraction form
    5,961.71/8,222.47 = 4,168.60/x
  3. Step 3: Cross multiply
    5,961.71x = 8,222.47 × 4,168.60
  4. Step 4: Simplify right side
    5,961.71x = 34,276,157.46
  5. Step 5: Solve for x
    x = 34,276,157.46/5,961.71
  6. Step 6: Final answer
    x = 5,749.38

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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.