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Finding the Fourth Proportional to 3,975.48, 5,964.66 and 3,249.72

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Solution

The fourth proportional to 3,975.48, 5,964.66 and 3,249.72 is: 4,875.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.48 : 5,964.66 = 3,249.72 : x
  2. Step 2: Convert to fraction form
    3,975.48/5,964.66 = 3,249.72/x
  3. Step 3: Cross multiply
    3,975.48x = 5,964.66 × 3,249.72
  4. Step 4: Simplify right side
    3,975.48x = 19,383,474.90
  5. Step 5: Solve for x
    x = 19,383,474.90/3,975.48
  6. Step 6: Final answer
    x = 4,875.76

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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.