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Finding the Fourth Proportional to 5,968.12, 8,952.66 and 2,019.34

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Solution

The fourth proportional to 5,968.12, 8,952.66 and 2,019.34 is: 3,029.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,968.12 : 8,952.66 = 2,019.34 : x
  2. Step 2: Convert to fraction form
    5,968.12/8,952.66 = 2,019.34/x
  3. Step 3: Cross multiply
    5,968.12x = 8,952.66 × 2,019.34
  4. Step 4: Simplify right side
    5,968.12x = 18,078,464.44
  5. Step 5: Solve for x
    x = 18,078,464.44/5,968.12
  6. Step 6: Final answer
    x = 3,029.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.