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Finding the Fourth Proportional to 5,968.51, 8,952.79 and 2,019.80

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Solution

The fourth proportional to 5,968.51, 8,952.79 and 2,019.80 is: 3,029.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,968.51 : 8,952.79 = 2,019.80 : x
  2. Step 2: Convert to fraction form
    5,968.51/8,952.79 = 2,019.80/x
  3. Step 3: Cross multiply
    5,968.51x = 8,952.79 × 2,019.80
  4. Step 4: Simplify right side
    5,968.51x = 18,082,845.24
  5. Step 5: Solve for x
    x = 18,082,845.24/5,968.51
  6. Step 6: Final answer
    x = 3,029.71

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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.