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Finding the Fourth Proportional to 5,967.72, 8,236.44 and 4,971.42

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Solution

The fourth proportional to 5,967.72, 8,236.44 and 4,971.42 is: 6,861.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.72 : 8,236.44 = 4,971.42 : x
  2. Step 2: Convert to fraction form
    5,967.72/8,236.44 = 4,971.42/x
  3. Step 3: Cross multiply
    5,967.72x = 8,236.44 × 4,971.42
  4. Step 4: Simplify right side
    5,967.72x = 40,946,802.54
  5. Step 5: Solve for x
    x = 40,946,802.54/5,967.72
  6. Step 6: Final answer
    x = 6,861.38

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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.