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Finding the Fourth Proportional to 3,249.92, 4,865.70 and 2,527.94

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Solution

The fourth proportional to 3,249.92, 4,865.70 and 2,527.94 is: 3,784.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249.92 : 4,865.70 = 2,527.94 : x
  2. Step 2: Convert to fraction form
    3,249.92/4,865.70 = 2,527.94/x
  3. Step 3: Cross multiply
    3,249.92x = 4,865.70 × 2,527.94
  4. Step 4: Simplify right side
    3,249.92x = 12,300,197.66
  5. Step 5: Solve for x
    x = 12,300,197.66/3,249.92
  6. Step 6: Final answer
    x = 3,784.77

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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.