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Finding the Fourth Proportional to 2,572.27, 3,853.02 and 2,132.48

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Solution

The fourth proportional to 2,572.27, 3,853.02 and 2,132.48 is: 3,194.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.27 : 3,853.02 = 2,132.48 : x
  2. Step 2: Convert to fraction form
    2,572.27/3,853.02 = 2,132.48/x
  3. Step 3: Cross multiply
    2,572.27x = 3,853.02 × 2,132.48
  4. Step 4: Simplify right side
    2,572.27x = 8,216,472.05
  5. Step 5: Solve for x
    x = 8,216,472.05/2,572.27
  6. Step 6: Final answer
    x = 3,194.25

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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.