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Finding the Fourth Proportional to 4,897.27, 6,753.65 and 3,776.43

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Solution

The fourth proportional to 4,897.27, 6,753.65 and 3,776.43 is: 5,207.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.27 : 6,753.65 = 3,776.43 : x
  2. Step 2: Convert to fraction form
    4,897.27/6,753.65 = 3,776.43/x
  3. Step 3: Cross multiply
    4,897.27x = 6,753.65 × 3,776.43
  4. Step 4: Simplify right side
    4,897.27x = 25,504,692.91
  5. Step 5: Solve for x
    x = 25,504,692.91/4,897.27
  6. Step 6: Final answer
    x = 5,207.94

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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.