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Finding the Fourth Proportional to 3,967.68, 5,957 and 2,021.24

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Solution

The fourth proportional to 3,967.68, 5,957 and 2,021.24 is: 3,034.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.68 : 5,957 = 2,021.24 : x
  2. Step 2: Convert to fraction form
    3,967.68/5,957 = 2,021.24/x
  3. Step 3: Cross multiply
    3,967.68x = 5,957 × 2,021.24
  4. Step 4: Simplify right side
    3,967.68x = 12,040,526.68
  5. Step 5: Solve for x
    x = 12,040,526.68/3,967.68
  6. Step 6: Final answer
    x = 3,034.65

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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.