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Finding the Fourth Proportional to 5,468.72, 7,546.53 and 3,230.09

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Solution

The fourth proportional to 5,468.72, 7,546.53 and 3,230.09 is: 4,457.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.72 : 7,546.53 = 3,230.09 : x
  2. Step 2: Convert to fraction form
    5,468.72/7,546.53 = 3,230.09/x
  3. Step 3: Cross multiply
    5,468.72x = 7,546.53 × 3,230.09
  4. Step 4: Simplify right side
    5,468.72x = 24,375,933.36
  5. Step 5: Solve for x
    x = 24,375,933.36/5,468.72
  6. Step 6: Final answer
    x = 4,457.34

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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.