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Finding the Fourth Proportional to 5,424.32, 7,489.18 and 4,163.12

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Solution

The fourth proportional to 5,424.32, 7,489.18 and 4,163.12 is: 5,747.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,424.32 : 7,489.18 = 4,163.12 : x
  2. Step 2: Convert to fraction form
    5,424.32/7,489.18 = 4,163.12/x
  3. Step 3: Cross multiply
    5,424.32x = 7,489.18 × 4,163.12
  4. Step 4: Simplify right side
    5,424.32x = 31,178,383.66
  5. Step 5: Solve for x
    x = 31,178,383.66/5,424.32
  6. Step 6: Final answer
    x = 5,747.89

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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.