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Finding the Fourth Proportional to 3,784.27, 5,220.16 and 2,271.43

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Solution

The fourth proportional to 3,784.27, 5,220.16 and 2,271.43 is: 3,133.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.27 : 5,220.16 = 2,271.43 : x
  2. Step 2: Convert to fraction form
    3,784.27/5,220.16 = 2,271.43/x
  3. Step 3: Cross multiply
    3,784.27x = 5,220.16 × 2,271.43
  4. Step 4: Simplify right side
    3,784.27x = 11,857,228.03
  5. Step 5: Solve for x
    x = 11,857,228.03/3,784.27
  6. Step 6: Final answer
    x = 3,133.29

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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.