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Finding the Fourth Proportional to 5,967.12, 8,238.06 and 3,984.24

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Solution

The fourth proportional to 5,967.12, 8,238.06 and 3,984.24 is: 5,500.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.12 : 8,238.06 = 3,984.24 : x
  2. Step 2: Convert to fraction form
    5,967.12/8,238.06 = 3,984.24/x
  3. Step 3: Cross multiply
    5,967.12x = 8,238.06 × 3,984.24
  4. Step 4: Simplify right side
    5,967.12x = 32,822,408.17
  5. Step 5: Solve for x
    x = 32,822,408.17/5,967.12
  6. Step 6: Final answer
    x = 5,500.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.